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Finding the Fourth Proportional to 3,686.75, 5,092.68 and 2,945.90

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Solution

The fourth proportional to 3,686.75, 5,092.68 and 2,945.90 is: 4,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.75 : 5,092.68 = 2,945.90 : x
  2. Step 2: Convert to fraction form
    3,686.75/5,092.68 = 2,945.90/x
  3. Step 3: Cross multiply
    3,686.75x = 5,092.68 × 2,945.90
  4. Step 4: Simplify right side
    3,686.75x = 15,002,526.01
  5. Step 5: Solve for x
    x = 15,002,526.01/3,686.75
  6. Step 6: Final answer
    x = 4,069.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.