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Finding the Fourth Proportional to 2,790.53, 4,185.67 and 842.67

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Solution

The fourth proportional to 2,790.53, 4,185.67 and 842.67 is: 1,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.53 : 4,185.67 = 842.67 : x
  2. Step 2: Convert to fraction form
    2,790.53/4,185.67 = 842.67/x
  3. Step 3: Cross multiply
    2,790.53x = 4,185.67 × 842.67
  4. Step 4: Simplify right side
    2,790.53x = 3,527,155.29
  5. Step 5: Solve for x
    x = 3,527,155.29/2,790.53
  6. Step 6: Final answer
    x = 1,263.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.