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Finding the Fourth Proportional to 2,626.38, 3,938.45 and 981.79

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Solution

The fourth proportional to 2,626.38, 3,938.45 and 981.79 is: 1,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.38 : 3,938.45 = 981.79 : x
  2. Step 2: Convert to fraction form
    2,626.38/3,938.45 = 981.79/x
  3. Step 3: Cross multiply
    2,626.38x = 3,938.45 × 981.79
  4. Step 4: Simplify right side
    2,626.38x = 3,866,716.07
  5. Step 5: Solve for x
    x = 3,866,716.07/2,626.38
  6. Step 6: Final answer
    x = 1,472.26

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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.