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Finding the Fourth Proportional to 17,712.72, 24,442.92 and 11,431.44

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Solution

The fourth proportional to 17,712.72, 24,442.92 and 11,431.44 is: 15,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.72 : 24,442.92 = 11,431.44 : x
  2. Step 2: Convert to fraction form
    17,712.72/24,442.92 = 11,431.44/x
  3. Step 3: Cross multiply
    17,712.72x = 24,442.92 × 11,431.44
  4. Step 4: Simplify right side
    17,712.72x = 279,417,773.40
  5. Step 5: Solve for x
    x = 279,417,773.40/17,712.72
  6. Step 6: Final answer
    x = 15,774.98

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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.