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Finding the Fourth Proportional to 17,638.92, 24,342.21 and 9,681.66

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Solution

The fourth proportional to 17,638.92, 24,342.21 and 9,681.66 is: 13,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.92 : 24,342.21 = 9,681.66 : x
  2. Step 2: Convert to fraction form
    17,638.92/24,342.21 = 9,681.66/x
  3. Step 3: Cross multiply
    17,638.92x = 24,342.21 × 9,681.66
  4. Step 4: Simplify right side
    17,638.92x = 235,673,000.87
  5. Step 5: Solve for x
    x = 235,673,000.87/17,638.92
  6. Step 6: Final answer
    x = 13,360.97

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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.