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Finding the Fourth Proportional to 2,098.74, 3,148.12 and 637.88

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Solution

The fourth proportional to 2,098.74, 3,148.12 and 637.88 is: 956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.74 : 3,148.12 = 637.88 : x
  2. Step 2: Convert to fraction form
    2,098.74/3,148.12 = 637.88/x
  3. Step 3: Cross multiply
    2,098.74x = 3,148.12 × 637.88
  4. Step 4: Simplify right side
    2,098.74x = 2,008,122.79
  5. Step 5: Solve for x
    x = 2,008,122.79/2,098.74
  6. Step 6: Final answer
    x = 956.82

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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.