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Finding the Fourth Proportional to 31,329.20, 46,978.25 and 9,979.13

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Solution

The fourth proportional to 31,329.20, 46,978.25 and 9,979.13 is: 14,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329.20 : 46,978.25 = 9,979.13 : x
  2. Step 2: Convert to fraction form
    31,329.20/46,978.25 = 9,979.13/x
  3. Step 3: Cross multiply
    31,329.20x = 46,978.25 × 9,979.13
  4. Step 4: Simplify right side
    31,329.20x = 468,801,779.14
  5. Step 5: Solve for x
    x = 468,801,779.14/31,329.20
  6. Step 6: Final answer
    x = 14,963.74

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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.