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Finding the Fourth Proportional to 7,632, 11,446.38 and 6,179.40

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Solution

The fourth proportional to 7,632, 11,446.38 and 6,179.40 is: 9,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632 : 11,446.38 = 6,179.40 : x
  2. Step 2: Convert to fraction form
    7,632/11,446.38 = 6,179.40/x
  3. Step 3: Cross multiply
    7,632x = 11,446.38 × 6,179.40
  4. Step 4: Simplify right side
    7,632x = 70,731,760.57
  5. Step 5: Solve for x
    x = 70,731,760.57/7,632
  6. Step 6: Final answer
    x = 9,267.79

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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.