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Finding the Fourth Proportional to 10,605, 15,909.90 and 5,679.36

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Solution

The fourth proportional to 10,605, 15,909.90 and 5,679.36 is: 8,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605 : 15,909.90 = 5,679.36 : x
  2. Step 2: Convert to fraction form
    10,605/15,909.90 = 5,679.36/x
  3. Step 3: Cross multiply
    10,605x = 15,909.90 × 5,679.36
  4. Step 4: Simplify right side
    10,605x = 90,358,049.66
  5. Step 5: Solve for x
    x = 90,358,049.66/10,605
  6. Step 6: Final answer
    x = 8,520.33

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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.