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Finding the Fourth Proportional to 9,750.38, 13,454.70 and 5,770.80

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Solution

The fourth proportional to 9,750.38, 13,454.70 and 5,770.80 is: 7,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.38 : 13,454.70 = 5,770.80 : x
  2. Step 2: Convert to fraction form
    9,750.38/13,454.70 = 5,770.80/x
  3. Step 3: Cross multiply
    9,750.38x = 13,454.70 × 5,770.80
  4. Step 4: Simplify right side
    9,750.38x = 77,644,382.76
  5. Step 5: Solve for x
    x = 77,644,382.76/9,750.38
  6. Step 6: Final answer
    x = 7,963.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.