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Finding the Fourth Proportional to 4,909.32, 7,356.24 and 4,489.92

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Solution

The fourth proportional to 4,909.32, 7,356.24 and 4,489.92 is: 6,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.32 : 7,356.24 = 4,489.92 : x
  2. Step 2: Convert to fraction form
    4,909.32/7,356.24 = 4,489.92/x
  3. Step 3: Cross multiply
    4,909.32x = 7,356.24 × 4,489.92
  4. Step 4: Simplify right side
    4,909.32x = 33,028,929.10
  5. Step 5: Solve for x
    x = 33,028,929.10/4,909.32
  6. Step 6: Final answer
    x = 6,727.80

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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.