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Finding the Fourth Proportional to 8,288, 12,434.56 and 4,394.88

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Solution

The fourth proportional to 8,288, 12,434.56 and 4,394.88 is: 6,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288 : 12,434.56 = 4,394.88 : x
  2. Step 2: Convert to fraction form
    8,288/12,434.56 = 4,394.88/x
  3. Step 3: Cross multiply
    8,288x = 12,434.56 × 4,394.88
  4. Step 4: Simplify right side
    8,288x = 54,648,399.05
  5. Step 5: Solve for x
    x = 54,648,399.05/8,288
  6. Step 6: Final answer
    x = 6,593.68

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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.