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Finding the Fourth Proportional to 2,652.71, 3,979.13 and 2,265.39

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Solution

The fourth proportional to 2,652.71, 3,979.13 and 2,265.39 is: 3,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.71 : 3,979.13 = 2,265.39 : x
  2. Step 2: Convert to fraction form
    2,652.71/3,979.13 = 2,265.39/x
  3. Step 3: Cross multiply
    2,652.71x = 3,979.13 × 2,265.39
  4. Step 4: Simplify right side
    2,652.71x = 9,014,269.98
  5. Step 5: Solve for x
    x = 9,014,269.98/2,652.71
  6. Step 6: Final answer
    x = 3,398.14

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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.