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Finding the Fourth Proportional to 9,974.75, 13,761.30 and 5,724.28

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Solution

The fourth proportional to 9,974.75, 13,761.30 and 5,724.28 is: 7,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.75 : 13,761.30 = 5,724.28 : x
  2. Step 2: Convert to fraction form
    9,974.75/13,761.30 = 5,724.28/x
  3. Step 3: Cross multiply
    9,974.75x = 13,761.30 × 5,724.28
  4. Step 4: Simplify right side
    9,974.75x = 78,773,534.36
  5. Step 5: Solve for x
    x = 78,773,534.36/9,974.75
  6. Step 6: Final answer
    x = 7,897.29

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