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Finding the Fourth Proportional to 7,162.44, 9,882.42 and 5,485.74

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Solution

The fourth proportional to 7,162.44, 9,882.42 and 5,485.74 is: 7,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.44 : 9,882.42 = 5,485.74 : x
  2. Step 2: Convert to fraction form
    7,162.44/9,882.42 = 5,485.74/x
  3. Step 3: Cross multiply
    7,162.44x = 9,882.42 × 5,485.74
  4. Step 4: Simplify right side
    7,162.44x = 54,212,386.69
  5. Step 5: Solve for x
    x = 54,212,386.69/7,162.44
  6. Step 6: Final answer
    x = 7,568.98

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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.