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Finding the Fourth Proportional to 2,660.78, 3,672.62 and 1,598.88

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Solution

The fourth proportional to 2,660.78, 3,672.62 and 1,598.88 is: 2,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.78 : 3,672.62 = 1,598.88 : x
  2. Step 2: Convert to fraction form
    2,660.78/3,672.62 = 1,598.88/x
  3. Step 3: Cross multiply
    2,660.78x = 3,672.62 × 1,598.88
  4. Step 4: Simplify right side
    2,660.78x = 5,872,082.66
  5. Step 5: Solve for x
    x = 5,872,082.66/2,660.78
  6. Step 6: Final answer
    x = 2,206.91

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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.