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Finding the Fourth Proportional to 3,197.50, 4,793.42 and 1,248.34

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Solution

The fourth proportional to 3,197.50, 4,793.42 and 1,248.34 is: 1,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.50 : 4,793.42 = 1,248.34 : x
  2. Step 2: Convert to fraction form
    3,197.50/4,793.42 = 1,248.34/x
  3. Step 3: Cross multiply
    3,197.50x = 4,793.42 × 1,248.34
  4. Step 4: Simplify right side
    3,197.50x = 5,983,809.06
  5. Step 5: Solve for x
    x = 5,983,809.06/3,197.50
  6. Step 6: Final answer
    x = 1,871.40

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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.