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Finding the Fourth Proportional to 1,510.76, 2,084.87 and 847.58

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Solution

The fourth proportional to 1,510.76, 2,084.87 and 847.58 is: 1,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.76 : 2,084.87 = 847.58 : x
  2. Step 2: Convert to fraction form
    1,510.76/2,084.87 = 847.58/x
  3. Step 3: Cross multiply
    1,510.76x = 2,084.87 × 847.58
  4. Step 4: Simplify right side
    1,510.76x = 1,767,085.81
  5. Step 5: Solve for x
    x = 1,767,085.81/1,510.76
  6. Step 6: Final answer
    x = 1,169.66

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Half scale
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Double scale
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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.