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Finding the Fourth Proportional to 2,652.87, 3,978.28 and 1,265.14

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Solution

The fourth proportional to 2,652.87, 3,978.28 and 1,265.14 is: 1,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.87 : 3,978.28 = 1,265.14 : x
  2. Step 2: Convert to fraction form
    2,652.87/3,978.28 = 1,265.14/x
  3. Step 3: Cross multiply
    2,652.87x = 3,978.28 × 1,265.14
  4. Step 4: Simplify right side
    2,652.87x = 5,033,081.16
  5. Step 5: Solve for x
    x = 5,033,081.16/2,652.87
  6. Step 6: Final answer
    x = 1,897.22

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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.