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Finding the Fourth Proportional to 2,471.75, 3,411.02 and 1,367.75

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Solution

The fourth proportional to 2,471.75, 3,411.02 and 1,367.75 is: 1,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.75 : 3,411.02 = 1,367.75 : x
  2. Step 2: Convert to fraction form
    2,471.75/3,411.02 = 1,367.75/x
  3. Step 3: Cross multiply
    2,471.75x = 3,411.02 × 1,367.75
  4. Step 4: Simplify right side
    2,471.75x = 4,665,422.61
  5. Step 5: Solve for x
    x = 4,665,422.61/2,471.75
  6. Step 6: Final answer
    x = 1,887.50

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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.