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Finding the Fourth Proportional to 4,793.12, 7,182 and 3,148.40

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Solution

The fourth proportional to 4,793.12, 7,182 and 3,148.40 is: 4,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.12 : 7,182 = 3,148.40 : x
  2. Step 2: Convert to fraction form
    4,793.12/7,182 = 3,148.40/x
  3. Step 3: Cross multiply
    4,793.12x = 7,182 × 3,148.40
  4. Step 4: Simplify right side
    4,793.12x = 22,611,808.80
  5. Step 5: Solve for x
    x = 22,611,808.80/4,793.12
  6. Step 6: Final answer
    x = 4,717.56

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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.