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Finding the Fourth Proportional to 8,231.68, 12,347.52 and 3,851.20

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Solution

The fourth proportional to 8,231.68, 12,347.52 and 3,851.20 is: 5,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.68 : 12,347.52 = 3,851.20 : x
  2. Step 2: Convert to fraction form
    8,231.68/12,347.52 = 3,851.20/x
  3. Step 3: Cross multiply
    8,231.68x = 12,347.52 × 3,851.20
  4. Step 4: Simplify right side
    8,231.68x = 47,552,769.02
  5. Step 5: Solve for x
    x = 47,552,769.02/8,231.68
  6. Step 6: Final answer
    x = 5,776.80

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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.