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Finding the Fourth Proportional to 11,084.32, 15,282 and 9,188.96

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Solution

The fourth proportional to 11,084.32, 15,282 and 9,188.96 is: 12,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084.32 : 15,282 = 9,188.96 : x
  2. Step 2: Convert to fraction form
    11,084.32/15,282 = 9,188.96/x
  3. Step 3: Cross multiply
    11,084.32x = 15,282 × 9,188.96
  4. Step 4: Simplify right side
    11,084.32x = 140,425,686.72
  5. Step 5: Solve for x
    x = 140,425,686.72/11,084.32
  6. Step 6: Final answer
    x = 12,668.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.