Home / 1,682.18-2,524.50-861.14

Finding the Fourth Proportional to 1,682.18, 2,524.50 and 861.14

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Solution

The fourth proportional to 1,682.18, 2,524.50 and 861.14 is: 1,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.18 : 2,524.50 = 861.14 : x
  2. Step 2: Convert to fraction form
    1,682.18/2,524.50 = 861.14/x
  3. Step 3: Cross multiply
    1,682.18x = 2,524.50 × 861.14
  4. Step 4: Simplify right side
    1,682.18x = 2,173,947.93
  5. Step 5: Solve for x
    x = 2,173,947.93/1,682.18
  6. Step 6: Final answer
    x = 1,292.34

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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.