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Finding the Fourth Proportional to 7,230.92, 9,978.39 and 4,087.17

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Solution

The fourth proportional to 7,230.92, 9,978.39 and 4,087.17 is: 5,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.92 : 9,978.39 = 4,087.17 : x
  2. Step 2: Convert to fraction form
    7,230.92/9,978.39 = 4,087.17/x
  3. Step 3: Cross multiply
    7,230.92x = 9,978.39 × 4,087.17
  4. Step 4: Simplify right side
    7,230.92x = 40,783,376.26
  5. Step 5: Solve for x
    x = 40,783,376.26/7,230.92
  6. Step 6: Final answer
    x = 5,640.14

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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.