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Finding the Fourth Proportional to 23,023.28, 31,772.28 and 12,951.64

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Solution

The fourth proportional to 23,023.28, 31,772.28 and 12,951.64 is: 17,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,023.28 : 31,772.28 = 12,951.64 : x
  2. Step 2: Convert to fraction form
    23,023.28/31,772.28 = 12,951.64/x
  3. Step 3: Cross multiply
    23,023.28x = 31,772.28 × 12,951.64
  4. Step 4: Simplify right side
    23,023.28x = 411,503,132.54
  5. Step 5: Solve for x
    x = 411,503,132.54/23,023.28
  6. Step 6: Final answer
    x = 17,873.35

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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.