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Finding the Fourth Proportional to 31,656.92, 43,695.18 and 19,713.20

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Solution

The fourth proportional to 31,656.92, 43,695.18 and 19,713.20 is: 27,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.92 : 43,695.18 = 19,713.20 : x
  2. Step 2: Convert to fraction form
    31,656.92/43,695.18 = 19,713.20/x
  3. Step 3: Cross multiply
    31,656.92x = 43,695.18 × 19,713.20
  4. Step 4: Simplify right side
    31,656.92x = 861,371,822.38
  5. Step 5: Solve for x
    x = 861,371,822.38/31,656.92
  6. Step 6: Final answer
    x = 27,209.59

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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.