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Finding the Fourth Proportional to 10,060, 13,882.80 and 5,644

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Solution

The fourth proportional to 10,060, 13,882.80 and 5,644 is: 7,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060 : 13,882.80 = 5,644 : x
  2. Step 2: Convert to fraction form
    10,060/13,882.80 = 5,644/x
  3. Step 3: Cross multiply
    10,060x = 13,882.80 × 5,644
  4. Step 4: Simplify right side
    10,060x = 78,354,523.20
  5. Step 5: Solve for x
    x = 78,354,523.20/10,060
  6. Step 6: Final answer
    x = 7,788.72

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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.