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Finding the Fourth Proportional to 2,652.60, 3,978.88 and 704.94

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Solution

The fourth proportional to 2,652.60, 3,978.88 and 704.94 is: 1,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.60 : 3,978.88 = 704.94 : x
  2. Step 2: Convert to fraction form
    2,652.60/3,978.88 = 704.94/x
  3. Step 3: Cross multiply
    2,652.60x = 3,978.88 × 704.94
  4. Step 4: Simplify right side
    2,652.60x = 2,804,871.67
  5. Step 5: Solve for x
    x = 2,804,871.67/2,652.60
  6. Step 6: Final answer
    x = 1,057.40

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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.