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Finding the Fourth Proportional to 2,793.52, 4,190.80 and 1,407.12

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Solution

The fourth proportional to 2,793.52, 4,190.80 and 1,407.12 is: 2,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.52 : 4,190.80 = 1,407.12 : x
  2. Step 2: Convert to fraction form
    2,793.52/4,190.80 = 1,407.12/x
  3. Step 3: Cross multiply
    2,793.52x = 4,190.80 × 1,407.12
  4. Step 4: Simplify right side
    2,793.52x = 5,896,958.50
  5. Step 5: Solve for x
    x = 5,896,958.50/2,793.52
  6. Step 6: Final answer
    x = 2,110.94

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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.