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Finding the Fourth Proportional to 10,929.80, 16,375.80 and 5,074.40

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Solution

The fourth proportional to 10,929.80, 16,375.80 and 5,074.40 is: 7,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.80 : 16,375.80 = 5,074.40 : x
  2. Step 2: Convert to fraction form
    10,929.80/16,375.80 = 5,074.40/x
  3. Step 3: Cross multiply
    10,929.80x = 16,375.80 × 5,074.40
  4. Step 4: Simplify right side
    10,929.80x = 83,097,359.52
  5. Step 5: Solve for x
    x = 83,097,359.52/10,929.80
  6. Step 6: Final answer
    x = 7,602.83

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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.