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Finding the Fourth Proportional to 9,046.85, 13,631.90 and 7,439.40

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Solution

The fourth proportional to 9,046.85, 13,631.90 and 7,439.40 is: 11,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.85 : 13,631.90 = 7,439.40 : x
  2. Step 2: Convert to fraction form
    9,046.85/13,631.90 = 7,439.40/x
  3. Step 3: Cross multiply
    9,046.85x = 13,631.90 × 7,439.40
  4. Step 4: Simplify right side
    9,046.85x = 101,413,119.66
  5. Step 5: Solve for x
    x = 101,413,119.66/9,046.85
  6. Step 6: Final answer
    x = 11,209.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.