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Finding the Fourth Proportional to 9,318.78, 13,978.19 and 8,748.54

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Solution

The fourth proportional to 9,318.78, 13,978.19 and 8,748.54 is: 13,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.78 : 13,978.19 = 8,748.54 : x
  2. Step 2: Convert to fraction form
    9,318.78/13,978.19 = 8,748.54/x
  3. Step 3: Cross multiply
    9,318.78x = 13,978.19 × 8,748.54
  4. Step 4: Simplify right side
    9,318.78x = 122,288,754.34
  5. Step 5: Solve for x
    x = 122,288,754.34/9,318.78
  6. Step 6: Final answer
    x = 13,122.83

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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.