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Finding the Fourth Proportional to 9,982.17, 13,775.16 and 5,505.79

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Solution

The fourth proportional to 9,982.17, 13,775.16 and 5,505.79 is: 7,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.17 : 13,775.16 = 5,505.79 : x
  2. Step 2: Convert to fraction form
    9,982.17/13,775.16 = 5,505.79/x
  3. Step 3: Cross multiply
    9,982.17x = 13,775.16 × 5,505.79
  4. Step 4: Simplify right side
    9,982.17x = 75,843,138.18
  5. Step 5: Solve for x
    x = 75,843,138.18/9,982.17
  6. Step 6: Final answer
    x = 7,597.86

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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.