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Finding the Fourth Proportional to 2,447.96, 3,378.50 and 1,400

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Solution

The fourth proportional to 2,447.96, 3,378.50 and 1,400 is: 1,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.96 : 3,378.50 = 1,400 : x
  2. Step 2: Convert to fraction form
    2,447.96/3,378.50 = 1,400/x
  3. Step 3: Cross multiply
    2,447.96x = 3,378.50 × 1,400
  4. Step 4: Simplify right side
    2,447.96x = 4,729,900
  5. Step 5: Solve for x
    x = 4,729,900/2,447.96
  6. Step 6: Final answer
    x = 1,932.18

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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.