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Finding the Fourth Proportional to 10,137, 15,205.40 and 4,292.76

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Solution

The fourth proportional to 10,137, 15,205.40 and 4,292.76 is: 6,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137 : 15,205.40 = 4,292.76 : x
  2. Step 2: Convert to fraction form
    10,137/15,205.40 = 4,292.76/x
  3. Step 3: Cross multiply
    10,137x = 15,205.40 × 4,292.76
  4. Step 4: Simplify right side
    10,137x = 65,273,132.90
  5. Step 5: Solve for x
    x = 65,273,132.90/10,137
  6. Step 6: Final answer
    x = 6,439.10

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Double scale
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1.5x scale

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.