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Finding the Fourth Proportional to 28,761.31, 43,142 and 9,041.59

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Solution

The fourth proportional to 28,761.31, 43,142 and 9,041.59 is: 13,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,761.31 : 43,142 = 9,041.59 : x
  2. Step 2: Convert to fraction form
    28,761.31/43,142 = 9,041.59/x
  3. Step 3: Cross multiply
    28,761.31x = 43,142 × 9,041.59
  4. Step 4: Simplify right side
    28,761.31x = 390,072,275.78
  5. Step 5: Solve for x
    x = 390,072,275.78/28,761.31
  6. Step 6: Final answer
    x = 13,562.40

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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.