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Finding the Fourth Proportional to 2,498.81, 3,748.35 and 649.92

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Solution

The fourth proportional to 2,498.81, 3,748.35 and 649.92 is: 974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.81 : 3,748.35 = 649.92 : x
  2. Step 2: Convert to fraction form
    2,498.81/3,748.35 = 649.92/x
  3. Step 3: Cross multiply
    2,498.81x = 3,748.35 × 649.92
  4. Step 4: Simplify right side
    2,498.81x = 2,436,127.63
  5. Step 5: Solve for x
    x = 2,436,127.63/2,498.81
  6. Step 6: Final answer
    x = 974.91

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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.