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Finding the Fourth Proportional to 11,162.68, 16,747.19 and 9,102.17

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Solution

The fourth proportional to 11,162.68, 16,747.19 and 9,102.17 is: 13,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.68 : 16,747.19 = 9,102.17 : x
  2. Step 2: Convert to fraction form
    11,162.68/16,747.19 = 9,102.17/x
  3. Step 3: Cross multiply
    11,162.68x = 16,747.19 × 9,102.17
  4. Step 4: Simplify right side
    11,162.68x = 152,435,800.89
  5. Step 5: Solve for x
    x = 152,435,800.89/11,162.68
  6. Step 6: Final answer
    x = 13,655.85

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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.