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Finding the Fourth Proportional to 1,932.40, 2,902.92 and 1,859.50

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Solution

The fourth proportional to 1,932.40, 2,902.92 and 1,859.50 is: 2,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.40 : 2,902.92 = 1,859.50 : x
  2. Step 2: Convert to fraction form
    1,932.40/2,902.92 = 1,859.50/x
  3. Step 3: Cross multiply
    1,932.40x = 2,902.92 × 1,859.50
  4. Step 4: Simplify right side
    1,932.40x = 5,397,979.74
  5. Step 5: Solve for x
    x = 5,397,979.74/1,932.40
  6. Step 6: Final answer
    x = 2,793.41

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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.