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Finding the Fourth Proportional to 9,191.78, 13,793.33 and 4,260.50

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Solution

The fourth proportional to 9,191.78, 13,793.33 and 4,260.50 is: 6,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.78 : 13,793.33 = 4,260.50 : x
  2. Step 2: Convert to fraction form
    9,191.78/13,793.33 = 4,260.50/x
  3. Step 3: Cross multiply
    9,191.78x = 13,793.33 × 4,260.50
  4. Step 4: Simplify right side
    9,191.78x = 58,766,424.15
  5. Step 5: Solve for x
    x = 58,766,424.15/9,191.78
  6. Step 6: Final answer
    x = 6,393.37

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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.