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Finding the Fourth Proportional to 10,660.60, 15,962.10 and 8,356.60

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Solution

The fourth proportional to 10,660.60, 15,962.10 and 8,356.60 is: 12,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.60 : 15,962.10 = 8,356.60 : x
  2. Step 2: Convert to fraction form
    10,660.60/15,962.10 = 8,356.60/x
  3. Step 3: Cross multiply
    10,660.60x = 15,962.10 × 8,356.60
  4. Step 4: Simplify right side
    10,660.60x = 133,388,884.86
  5. Step 5: Solve for x
    x = 133,388,884.86/10,660.60
  6. Step 6: Final answer
    x = 12,512.32

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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.