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Finding the Fourth Proportional to 2,649.84, 3,997.92 and 2,642.58

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Solution

The fourth proportional to 2,649.84, 3,997.92 and 2,642.58 is: 3,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.84 : 3,997.92 = 2,642.58 : x
  2. Step 2: Convert to fraction form
    2,649.84/3,997.92 = 2,642.58/x
  3. Step 3: Cross multiply
    2,649.84x = 3,997.92 × 2,642.58
  4. Step 4: Simplify right side
    2,649.84x = 10,564,823.43
  5. Step 5: Solve for x
    x = 10,564,823.43/2,649.84
  6. Step 6: Final answer
    x = 3,986.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.