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Finding the Fourth Proportional to 22,957.42, 31,672.20 and 13,261.72

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Solution

The fourth proportional to 22,957.42, 31,672.20 and 13,261.72 is: 18,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.42 : 31,672.20 = 13,261.72 : x
  2. Step 2: Convert to fraction form
    22,957.42/31,672.20 = 13,261.72/x
  3. Step 3: Cross multiply
    22,957.42x = 31,672.20 × 13,261.72
  4. Step 4: Simplify right side
    22,957.42x = 420,027,848.18
  5. Step 5: Solve for x
    x = 420,027,848.18/22,957.42
  6. Step 6: Final answer
    x = 18,295.95

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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.