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Finding the Fourth Proportional to 10,887, 15,024.18 and 5,919

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Solution

The fourth proportional to 10,887, 15,024.18 and 5,919 is: 8,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887 : 15,024.18 = 5,919 : x
  2. Step 2: Convert to fraction form
    10,887/15,024.18 = 5,919/x
  3. Step 3: Cross multiply
    10,887x = 15,024.18 × 5,919
  4. Step 4: Simplify right side
    10,887x = 88,928,121.42
  5. Step 5: Solve for x
    x = 88,928,121.42/10,887
  6. Step 6: Final answer
    x = 8,168.29

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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.