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Finding the Fourth Proportional to 2,652.67, 3,979.07 and 704.92

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Solution

The fourth proportional to 2,652.67, 3,979.07 and 704.92 is: 1,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.67 : 3,979.07 = 704.92 : x
  2. Step 2: Convert to fraction form
    2,652.67/3,979.07 = 704.92/x
  3. Step 3: Cross multiply
    2,652.67x = 3,979.07 × 704.92
  4. Step 4: Simplify right side
    2,652.67x = 2,804,926.02
  5. Step 5: Solve for x
    x = 2,804,926.02/2,652.67
  6. Step 6: Final answer
    x = 1,057.40

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1.5x scale

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.