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Finding the Fourth Proportional to 3,123.68, 4,673.78 and 1,869.66

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Solution

The fourth proportional to 3,123.68, 4,673.78 and 1,869.66 is: 2,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.68 : 4,673.78 = 1,869.66 : x
  2. Step 2: Convert to fraction form
    3,123.68/4,673.78 = 1,869.66/x
  3. Step 3: Cross multiply
    3,123.68x = 4,673.78 × 1,869.66
  4. Step 4: Simplify right side
    3,123.68x = 8,738,377.18
  5. Step 5: Solve for x
    x = 8,738,377.18/3,123.68
  6. Step 6: Final answer
    x = 2,797.47

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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.