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Finding the Fourth Proportional to 3,472.80, 4,792.68 and 2,278.50

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Solution

The fourth proportional to 3,472.80, 4,792.68 and 2,278.50 is: 3,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.80 : 4,792.68 = 2,278.50 : x
  2. Step 2: Convert to fraction form
    3,472.80/4,792.68 = 2,278.50/x
  3. Step 3: Cross multiply
    3,472.80x = 4,792.68 × 2,278.50
  4. Step 4: Simplify right side
    3,472.80x = 10,920,121.38
  5. Step 5: Solve for x
    x = 10,920,121.38/3,472.80
  6. Step 6: Final answer
    x = 3,144.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.