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Finding the Fourth Proportional to 2,652.54, 3,978.99 and 1,266.48

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Solution

The fourth proportional to 2,652.54, 3,978.99 and 1,266.48 is: 1,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.54 : 3,978.99 = 1,266.48 : x
  2. Step 2: Convert to fraction form
    2,652.54/3,978.99 = 1,266.48/x
  3. Step 3: Cross multiply
    2,652.54x = 3,978.99 × 1,266.48
  4. Step 4: Simplify right side
    2,652.54x = 5,039,311.26
  5. Step 5: Solve for x
    x = 5,039,311.26/2,652.54
  6. Step 6: Final answer
    x = 1,899.81

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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.