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Finding the Fourth Proportional to 3,899.04, 5,847.24 and 1,301.28

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Solution

The fourth proportional to 3,899.04, 5,847.24 and 1,301.28 is: 1,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.04 : 5,847.24 = 1,301.28 : x
  2. Step 2: Convert to fraction form
    3,899.04/5,847.24 = 1,301.28/x
  3. Step 3: Cross multiply
    3,899.04x = 5,847.24 × 1,301.28
  4. Step 4: Simplify right side
    3,899.04x = 7,608,896.47
  5. Step 5: Solve for x
    x = 7,608,896.47/3,899.04
  6. Step 6: Final answer
    x = 1,951.48

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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.