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Finding the Fourth Proportional to 8,761.68, 13,142.52 and 3,566.16

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Solution

The fourth proportional to 8,761.68, 13,142.52 and 3,566.16 is: 5,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.68 : 13,142.52 = 3,566.16 : x
  2. Step 2: Convert to fraction form
    8,761.68/13,142.52 = 3,566.16/x
  3. Step 3: Cross multiply
    8,761.68x = 13,142.52 × 3,566.16
  4. Step 4: Simplify right side
    8,761.68x = 46,868,329.12
  5. Step 5: Solve for x
    x = 46,868,329.12/8,761.68
  6. Step 6: Final answer
    x = 5,349.24

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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.