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Finding the Fourth Proportional to 22,695.40, 31,255.14 and 16,397.80

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Solution

The fourth proportional to 22,695.40, 31,255.14 and 16,397.80 is: 22,582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,695.40 : 31,255.14 = 16,397.80 : x
  2. Step 2: Convert to fraction form
    22,695.40/31,255.14 = 16,397.80/x
  3. Step 3: Cross multiply
    22,695.40x = 31,255.14 × 16,397.80
  4. Step 4: Simplify right side
    22,695.40x = 512,515,534.69
  5. Step 5: Solve for x
    x = 512,515,534.69/22,695.40
  6. Step 6: Final answer
    x = 22,582.35

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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.