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Finding the Fourth Proportional to 2,691.77, 3,710.41 and 2,465.78

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Solution

The fourth proportional to 2,691.77, 3,710.41 and 2,465.78 is: 3,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.77 : 3,710.41 = 2,465.78 : x
  2. Step 2: Convert to fraction form
    2,691.77/3,710.41 = 2,465.78/x
  3. Step 3: Cross multiply
    2,691.77x = 3,710.41 × 2,465.78
  4. Step 4: Simplify right side
    2,691.77x = 9,149,030.05
  5. Step 5: Solve for x
    x = 9,149,030.05/2,691.77
  6. Step 6: Final answer
    x = 3,398.90

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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.