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Finding the Fourth Proportional to 2,649.74, 3,972.02 and 1,262.67

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Solution

The fourth proportional to 2,649.74, 3,972.02 and 1,262.67 is: 1,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.74 : 3,972.02 = 1,262.67 : x
  2. Step 2: Convert to fraction form
    2,649.74/3,972.02 = 1,262.67/x
  3. Step 3: Cross multiply
    2,649.74x = 3,972.02 × 1,262.67
  4. Step 4: Simplify right side
    2,649.74x = 5,015,344.18
  5. Step 5: Solve for x
    x = 5,015,344.18/2,649.74
  6. Step 6: Final answer
    x = 1,892.77

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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.