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Finding the Fourth Proportional to 2,687.40, 3,997.02 and 2,658.24

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Solution

The fourth proportional to 2,687.40, 3,997.02 and 2,658.24 is: 3,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.40 : 3,997.02 = 2,658.24 : x
  2. Step 2: Convert to fraction form
    2,687.40/3,997.02 = 2,658.24/x
  3. Step 3: Cross multiply
    2,687.40x = 3,997.02 × 2,658.24
  4. Step 4: Simplify right side
    2,687.40x = 10,625,038.44
  5. Step 5: Solve for x
    x = 10,625,038.44/2,687.40
  6. Step 6: Final answer
    x = 3,953.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.