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Finding the Fourth Proportional to 10,632, 15,951.36 and 4,789.12

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Solution

The fourth proportional to 10,632, 15,951.36 and 4,789.12 is: 7,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632 : 15,951.36 = 4,789.12 : x
  2. Step 2: Convert to fraction form
    10,632/15,951.36 = 4,789.12/x
  3. Step 3: Cross multiply
    10,632x = 15,951.36 × 4,789.12
  4. Step 4: Simplify right side
    10,632x = 76,392,977.20
  5. Step 5: Solve for x
    x = 76,392,977.20/10,632
  6. Step 6: Final answer
    x = 7,185.19

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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.