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Finding the Fourth Proportional to 9,318.78, 13,978.80 and 3,162.78

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Solution

The fourth proportional to 9,318.78, 13,978.80 and 3,162.78 is: 4,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.78 : 13,978.80 = 3,162.78 : x
  2. Step 2: Convert to fraction form
    9,318.78/13,978.80 = 3,162.78/x
  3. Step 3: Cross multiply
    9,318.78x = 13,978.80 × 3,162.78
  4. Step 4: Simplify right side
    9,318.78x = 44,211,869.06
  5. Step 5: Solve for x
    x = 44,211,869.06/9,318.78
  6. Step 6: Final answer
    x = 4,744.38

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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.