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Finding the Fourth Proportional to 9,732.11, 14,562.72 and 8,431.04

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Solution

The fourth proportional to 9,732.11, 14,562.72 and 8,431.04 is: 12,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.11 : 14,562.72 = 8,431.04 : x
  2. Step 2: Convert to fraction form
    9,732.11/14,562.72 = 8,431.04/x
  3. Step 3: Cross multiply
    9,732.11x = 14,562.72 × 8,431.04
  4. Step 4: Simplify right side
    9,732.11x = 122,778,911.24
  5. Step 5: Solve for x
    x = 122,778,911.24/9,732.11
  6. Step 6: Final answer
    x = 12,615.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.