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Finding the Fourth Proportional to 8,287.65, 12,434.31 and 3,905.42

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Solution

The fourth proportional to 8,287.65, 12,434.31 and 3,905.42 is: 5,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.65 : 12,434.31 = 3,905.42 : x
  2. Step 2: Convert to fraction form
    8,287.65/12,434.31 = 3,905.42/x
  3. Step 3: Cross multiply
    8,287.65x = 12,434.31 × 3,905.42
  4. Step 4: Simplify right side
    8,287.65x = 48,561,140.79
  5. Step 5: Solve for x
    x = 48,561,140.79/8,287.65
  6. Step 6: Final answer
    x = 5,859.46

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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.