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Finding the Fourth Proportional to 9,144.78, 13,713.93 and 3,947.82

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Solution

The fourth proportional to 9,144.78, 13,713.93 and 3,947.82 is: 5,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.78 : 13,713.93 = 3,947.82 : x
  2. Step 2: Convert to fraction form
    9,144.78/13,713.93 = 3,947.82/x
  3. Step 3: Cross multiply
    9,144.78x = 13,713.93 × 3,947.82
  4. Step 4: Simplify right side
    9,144.78x = 54,140,127.13
  5. Step 5: Solve for x
    x = 54,140,127.13/9,144.78
  6. Step 6: Final answer
    x = 5,920.33

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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.