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Finding the Fourth Proportional to 2,739.99, 3,781.66 and 2,648.86

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Solution

The fourth proportional to 2,739.99, 3,781.66 and 2,648.86 is: 3,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.99 : 3,781.66 = 2,648.86 : x
  2. Step 2: Convert to fraction form
    2,739.99/3,781.66 = 2,648.86/x
  3. Step 3: Cross multiply
    2,739.99x = 3,781.66 × 2,648.86
  4. Step 4: Simplify right side
    2,739.99x = 10,017,087.91
  5. Step 5: Solve for x
    x = 10,017,087.91/2,739.99
  6. Step 6: Final answer
    x = 3,655.88

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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.