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Finding the Fourth Proportional to 10,975.60, 16,468.20 and 5,129.20

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Solution

The fourth proportional to 10,975.60, 16,468.20 and 5,129.20 is: 7,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.60 : 16,468.20 = 5,129.20 : x
  2. Step 2: Convert to fraction form
    10,975.60/16,468.20 = 5,129.20/x
  3. Step 3: Cross multiply
    10,975.60x = 16,468.20 × 5,129.20
  4. Step 4: Simplify right side
    10,975.60x = 84,468,691.44
  5. Step 5: Solve for x
    x = 84,468,691.44/10,975.60
  6. Step 6: Final answer
    x = 7,696.04

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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.