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Finding the Fourth Proportional to 8,494.79, 11,724.34 and 4,909.25

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Solution

The fourth proportional to 8,494.79, 11,724.34 and 4,909.25 is: 6,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.79 : 11,724.34 = 4,909.25 : x
  2. Step 2: Convert to fraction form
    8,494.79/11,724.34 = 4,909.25/x
  3. Step 3: Cross multiply
    8,494.79x = 11,724.34 × 4,909.25
  4. Step 4: Simplify right side
    8,494.79x = 57,557,755.42
  5. Step 5: Solve for x
    x = 57,557,755.42/8,494.79
  6. Step 6: Final answer
    x = 6,775.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.