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Finding the Fourth Proportional to 2,652.42, 3,978.70 and 1,265.90

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Solution

The fourth proportional to 2,652.42, 3,978.70 and 1,265.90 is: 1,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.42 : 3,978.70 = 1,265.90 : x
  2. Step 2: Convert to fraction form
    2,652.42/3,978.70 = 1,265.90/x
  3. Step 3: Cross multiply
    2,652.42x = 3,978.70 × 1,265.90
  4. Step 4: Simplify right side
    2,652.42x = 5,036,636.33
  5. Step 5: Solve for x
    x = 5,036,636.33/2,652.42
  6. Step 6: Final answer
    x = 1,898.88

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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.