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Finding the Fourth Proportional to 1,687.56, 2,524.14 and 1,249.08

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Solution

The fourth proportional to 1,687.56, 2,524.14 and 1,249.08 is: 1,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.56 : 2,524.14 = 1,249.08 : x
  2. Step 2: Convert to fraction form
    1,687.56/2,524.14 = 1,249.08/x
  3. Step 3: Cross multiply
    1,687.56x = 2,524.14 × 1,249.08
  4. Step 4: Simplify right side
    1,687.56x = 3,152,852.79
  5. Step 5: Solve for x
    x = 3,152,852.79/1,687.56
  6. Step 6: Final answer
    x = 1,868.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.