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Finding the Fourth Proportional to 3,123.66, 4,684.62 and 1,174.80

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Solution

The fourth proportional to 3,123.66, 4,684.62 and 1,174.80 is: 1,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.66 : 4,684.62 = 1,174.80 : x
  2. Step 2: Convert to fraction form
    3,123.66/4,684.62 = 1,174.80/x
  3. Step 3: Cross multiply
    3,123.66x = 4,684.62 × 1,174.80
  4. Step 4: Simplify right side
    3,123.66x = 5,503,491.58
  5. Step 5: Solve for x
    x = 5,503,491.58/3,123.66
  6. Step 6: Final answer
    x = 1,761.87

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1.5x scale

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.