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Finding the Fourth Proportional to 2,652.48, 3,978.45 and 704.88

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Solution

The fourth proportional to 2,652.48, 3,978.45 and 704.88 is: 1,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.48 : 3,978.45 = 704.88 : x
  2. Step 2: Convert to fraction form
    2,652.48/3,978.45 = 704.88/x
  3. Step 3: Cross multiply
    2,652.48x = 3,978.45 × 704.88
  4. Step 4: Simplify right side
    2,652.48x = 2,804,329.84
  5. Step 5: Solve for x
    x = 2,804,329.84/2,652.48
  6. Step 6: Final answer
    x = 1,057.25

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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.