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Finding the Fourth Proportional to 1,510.83, 2,084.85 and 847.67

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Solution

The fourth proportional to 1,510.83, 2,084.85 and 847.67 is: 1,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.83 : 2,084.85 = 847.67 : x
  2. Step 2: Convert to fraction form
    1,510.83/2,084.85 = 847.67/x
  3. Step 3: Cross multiply
    1,510.83x = 2,084.85 × 847.67
  4. Step 4: Simplify right side
    1,510.83x = 1,767,254.38
  5. Step 5: Solve for x
    x = 1,767,254.38/1,510.83
  6. Step 6: Final answer
    x = 1,169.72

Related Problems

Find fourth proportional to 755.42, 1,042.43 and 423.83
Half scale
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Double scale
Find fourth proportional to 1,511.83, 2,086.23 and 848.67
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.