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Finding the Fourth Proportional to 3,901.80, 5,853.07 and 1,561.25

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Solution

The fourth proportional to 3,901.80, 5,853.07 and 1,561.25 is: 2,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.80 : 5,853.07 = 1,561.25 : x
  2. Step 2: Convert to fraction form
    3,901.80/5,853.07 = 1,561.25/x
  3. Step 3: Cross multiply
    3,901.80x = 5,853.07 × 1,561.25
  4. Step 4: Simplify right side
    3,901.80x = 9,138,105.54
  5. Step 5: Solve for x
    x = 9,138,105.54/3,901.80
  6. Step 6: Final answer
    x = 2,342.02

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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.