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Finding the Fourth Proportional to 10,956, 16,443.76 and 5,115.90

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Solution

The fourth proportional to 10,956, 16,443.76 and 5,115.90 is: 7,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956 : 16,443.76 = 5,115.90 : x
  2. Step 2: Convert to fraction form
    10,956/16,443.76 = 5,115.90/x
  3. Step 3: Cross multiply
    10,956x = 16,443.76 × 5,115.90
  4. Step 4: Simplify right side
    10,956x = 84,124,631.78
  5. Step 5: Solve for x
    x = 84,124,631.78/10,956
  6. Step 6: Final answer
    x = 7,678.41

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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.