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Finding the Fourth Proportional to 31,107.30, 42,929.04 and 17,679.12

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Solution

The fourth proportional to 31,107.30, 42,929.04 and 17,679.12 is: 24,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.30 : 42,929.04 = 17,679.12 : x
  2. Step 2: Convert to fraction form
    31,107.30/42,929.04 = 17,679.12/x
  3. Step 3: Cross multiply
    31,107.30x = 42,929.04 × 17,679.12
  4. Step 4: Simplify right side
    31,107.30x = 758,947,649.64
  5. Step 5: Solve for x
    x = 758,947,649.64/31,107.30
  6. Step 6: Final answer
    x = 24,397.73

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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.