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Finding the Fourth Proportional to 8,412.42, 12,637.02 and 7,231.44

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Solution

The fourth proportional to 8,412.42, 12,637.02 and 7,231.44 is: 10,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.42 : 12,637.02 = 7,231.44 : x
  2. Step 2: Convert to fraction form
    8,412.42/12,637.02 = 7,231.44/x
  3. Step 3: Cross multiply
    8,412.42x = 12,637.02 × 7,231.44
  4. Step 4: Simplify right side
    8,412.42x = 91,383,851.91
  5. Step 5: Solve for x
    x = 91,383,851.91/8,412.42
  6. Step 6: Final answer
    x = 10,862.97

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1.5x scale

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.