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Finding the Fourth Proportional to 22,695.68, 31,320.92 and 13,738.11

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Solution

The fourth proportional to 22,695.68, 31,320.92 and 13,738.11 is: 18,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,695.68 : 31,320.92 = 13,738.11 : x
  2. Step 2: Convert to fraction form
    22,695.68/31,320.92 = 13,738.11/x
  3. Step 3: Cross multiply
    22,695.68x = 31,320.92 × 13,738.11
  4. Step 4: Simplify right side
    22,695.68x = 430,290,278.61
  5. Step 5: Solve for x
    x = 430,290,278.61/22,695.68
  6. Step 6: Final answer
    x = 18,959.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.