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Finding the Fourth Proportional to 2,654.71, 3,982 and 1,269.03

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Solution

The fourth proportional to 2,654.71, 3,982 and 1,269.03 is: 1,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.71 : 3,982 = 1,269.03 : x
  2. Step 2: Convert to fraction form
    2,654.71/3,982 = 1,269.03/x
  3. Step 3: Cross multiply
    2,654.71x = 3,982 × 1,269.03
  4. Step 4: Simplify right side
    2,654.71x = 5,053,277.46
  5. Step 5: Solve for x
    x = 5,053,277.46/2,654.71
  6. Step 6: Final answer
    x = 1,903.51

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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.