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Finding the Fourth Proportional to 3,937.80, 5,905.89 and 1,745.13

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Solution

The fourth proportional to 3,937.80, 5,905.89 and 1,745.13 is: 2,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.80 : 5,905.89 = 1,745.13 : x
  2. Step 2: Convert to fraction form
    3,937.80/5,905.89 = 1,745.13/x
  3. Step 3: Cross multiply
    3,937.80x = 5,905.89 × 1,745.13
  4. Step 4: Simplify right side
    3,937.80x = 10,306,545.82
  5. Step 5: Solve for x
    x = 10,306,545.82/3,937.80
  6. Step 6: Final answer
    x = 2,617.34

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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.