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Finding the Fourth Proportional to 2,498.42, 3,747.63 and 649.41

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Solution

The fourth proportional to 2,498.42, 3,747.63 and 649.41 is: 974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.42 : 3,747.63 = 649.41 : x
  2. Step 2: Convert to fraction form
    2,498.42/3,747.63 = 649.41/x
  3. Step 3: Cross multiply
    2,498.42x = 3,747.63 × 649.41
  4. Step 4: Simplify right side
    2,498.42x = 2,433,748.40
  5. Step 5: Solve for x
    x = 2,433,748.40/2,498.42
  6. Step 6: Final answer
    x = 974.12

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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.