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Finding the Fourth Proportional to 10,109.68, 15,164 and 3,872.68

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Solution

The fourth proportional to 10,109.68, 15,164 and 3,872.68 is: 5,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.68 : 15,164 = 3,872.68 : x
  2. Step 2: Convert to fraction form
    10,109.68/15,164 = 3,872.68/x
  3. Step 3: Cross multiply
    10,109.68x = 15,164 × 3,872.68
  4. Step 4: Simplify right side
    10,109.68x = 58,725,319.52
  5. Step 5: Solve for x
    x = 58,725,319.52/10,109.68
  6. Step 6: Final answer
    x = 5,808.82

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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.