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Finding the Fourth Proportional to 10,876, 15,017.52 and 8,530.24

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Solution

The fourth proportional to 10,876, 15,017.52 and 8,530.24 is: 11,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876 : 15,017.52 = 8,530.24 : x
  2. Step 2: Convert to fraction form
    10,876/15,017.52 = 8,530.24/x
  3. Step 3: Cross multiply
    10,876x = 15,017.52 × 8,530.24
  4. Step 4: Simplify right side
    10,876x = 128,103,049.80
  5. Step 5: Solve for x
    x = 128,103,049.80/10,876
  6. Step 6: Final answer
    x = 11,778.51

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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.