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Finding the Fourth Proportional to 10,112.52, 15,160.12 and 6,642.12

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Solution

The fourth proportional to 10,112.52, 15,160.12 and 6,642.12 is: 9,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.52 : 15,160.12 = 6,642.12 : x
  2. Step 2: Convert to fraction form
    10,112.52/15,160.12 = 6,642.12/x
  3. Step 3: Cross multiply
    10,112.52x = 15,160.12 × 6,642.12
  4. Step 4: Simplify right side
    10,112.52x = 100,695,336.25
  5. Step 5: Solve for x
    x = 100,695,336.25/10,112.52
  6. Step 6: Final answer
    x = 9,957.49

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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.