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Finding the Fourth Proportional to 2,652.13, 3,978.60 and 1,352.89

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Solution

The fourth proportional to 2,652.13, 3,978.60 and 1,352.89 is: 2,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.13 : 3,978.60 = 1,352.89 : x
  2. Step 2: Convert to fraction form
    2,652.13/3,978.60 = 1,352.89/x
  3. Step 3: Cross multiply
    2,652.13x = 3,978.60 × 1,352.89
  4. Step 4: Simplify right side
    2,652.13x = 5,382,608.15
  5. Step 5: Solve for x
    x = 5,382,608.15/2,652.13
  6. Step 6: Final answer
    x = 2,029.54

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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.