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Finding the Fourth Proportional to 33,010.80, 49,519.12 and 9,318.50

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Solution

The fourth proportional to 33,010.80, 49,519.12 and 9,318.50 is: 13,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,010.80 : 49,519.12 = 9,318.50 : x
  2. Step 2: Convert to fraction form
    33,010.80/49,519.12 = 9,318.50/x
  3. Step 3: Cross multiply
    33,010.80x = 49,519.12 × 9,318.50
  4. Step 4: Simplify right side
    33,010.80x = 461,443,919.72
  5. Step 5: Solve for x
    x = 461,443,919.72/33,010.80
  6. Step 6: Final answer
    x = 13,978.57

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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.