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Finding the Fourth Proportional to 8,909.74, 13,388.82 and 4,752.64

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Solution

The fourth proportional to 8,909.74, 13,388.82 and 4,752.64 is: 7,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.74 : 13,388.82 = 4,752.64 : x
  2. Step 2: Convert to fraction form
    8,909.74/13,388.82 = 4,752.64/x
  3. Step 3: Cross multiply
    8,909.74x = 13,388.82 × 4,752.64
  4. Step 4: Simplify right side
    8,909.74x = 63,632,241.48
  5. Step 5: Solve for x
    x = 63,632,241.48/8,909.74
  6. Step 6: Final answer
    x = 7,141.87

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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.