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Finding the Fourth Proportional to 8,463.74, 12,700.33 and 3,202.25

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Solution

The fourth proportional to 8,463.74, 12,700.33 and 3,202.25 is: 4,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.74 : 12,700.33 = 3,202.25 : x
  2. Step 2: Convert to fraction form
    8,463.74/12,700.33 = 3,202.25/x
  3. Step 3: Cross multiply
    8,463.74x = 12,700.33 × 3,202.25
  4. Step 4: Simplify right side
    8,463.74x = 40,669,560.24
  5. Step 5: Solve for x
    x = 40,669,560.24/8,463.74
  6. Step 6: Final answer
    x = 4,805.16

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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.