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Finding the Fourth Proportional to 3,124, 4,311.66 and 1,882

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Solution

The fourth proportional to 3,124, 4,311.66 and 1,882 is: 2,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124 : 4,311.66 = 1,882 : x
  2. Step 2: Convert to fraction form
    3,124/4,311.66 = 1,882/x
  3. Step 3: Cross multiply
    3,124x = 4,311.66 × 1,882
  4. Step 4: Simplify right side
    3,124x = 8,114,544.12
  5. Step 5: Solve for x
    x = 8,114,544.12/3,124
  6. Step 6: Final answer
    x = 2,597.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.