Home / 4,747.71-7,123.08-2,282.70

Finding the Fourth Proportional to 4,747.71, 7,123.08 and 2,282.70

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Solution

The fourth proportional to 4,747.71, 7,123.08 and 2,282.70 is: 3,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.71 : 7,123.08 = 2,282.70 : x
  2. Step 2: Convert to fraction form
    4,747.71/7,123.08 = 2,282.70/x
  3. Step 3: Cross multiply
    4,747.71x = 7,123.08 × 2,282.70
  4. Step 4: Simplify right side
    4,747.71x = 16,259,854.72
  5. Step 5: Solve for x
    x = 16,259,854.72/4,747.71
  6. Step 6: Final answer
    x = 3,424.78

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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.