Home / 2,584.88-3,876.63-1,123.70

Finding the Fourth Proportional to 2,584.88, 3,876.63 and 1,123.70

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Solution

The fourth proportional to 2,584.88, 3,876.63 and 1,123.70 is: 1,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.88 : 3,876.63 = 1,123.70 : x
  2. Step 2: Convert to fraction form
    2,584.88/3,876.63 = 1,123.70/x
  3. Step 3: Cross multiply
    2,584.88x = 3,876.63 × 1,123.70
  4. Step 4: Simplify right side
    2,584.88x = 4,356,149.75
  5. Step 5: Solve for x
    x = 4,356,149.75/2,584.88
  6. Step 6: Final answer
    x = 1,685.25

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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.