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Finding the Fourth Proportional to 10,188.62, 15,288.11 and 4,928.13

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Solution

The fourth proportional to 10,188.62, 15,288.11 and 4,928.13 is: 7,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.62 : 15,288.11 = 4,928.13 : x
  2. Step 2: Convert to fraction form
    10,188.62/15,288.11 = 4,928.13/x
  3. Step 3: Cross multiply
    10,188.62x = 15,288.11 × 4,928.13
  4. Step 4: Simplify right side
    10,188.62x = 75,341,793.53
  5. Step 5: Solve for x
    x = 75,341,793.53/10,188.62
  6. Step 6: Final answer
    x = 7,394.70

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Why These Related Problems?

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