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Finding the Fourth Proportional to 10,108.95, 15,154.03 and 5,167.68

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Solution

The fourth proportional to 10,108.95, 15,154.03 and 5,167.68 is: 7,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.95 : 15,154.03 = 5,167.68 : x
  2. Step 2: Convert to fraction form
    10,108.95/15,154.03 = 5,167.68/x
  3. Step 3: Cross multiply
    10,108.95x = 15,154.03 × 5,167.68
  4. Step 4: Simplify right side
    10,108.95x = 78,311,177.75
  5. Step 5: Solve for x
    x = 78,311,177.75/10,108.95
  6. Step 6: Final answer
    x = 7,746.72

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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.