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Finding the Fourth Proportional to 3,732.78, 5,599.11 and 1,680.78

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Solution

The fourth proportional to 3,732.78, 5,599.11 and 1,680.78 is: 2,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.78 : 5,599.11 = 1,680.78 : x
  2. Step 2: Convert to fraction form
    3,732.78/5,599.11 = 1,680.78/x
  3. Step 3: Cross multiply
    3,732.78x = 5,599.11 × 1,680.78
  4. Step 4: Simplify right side
    3,732.78x = 9,410,872.11
  5. Step 5: Solve for x
    x = 9,410,872.11/3,732.78
  6. Step 6: Final answer
    x = 2,521.14

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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.