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Finding the Fourth Proportional to 7,258.92, 10,017.31 and 4,115.11

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Solution

The fourth proportional to 7,258.92, 10,017.31 and 4,115.11 is: 5,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.92 : 10,017.31 = 4,115.11 : x
  2. Step 2: Convert to fraction form
    7,258.92/10,017.31 = 4,115.11/x
  3. Step 3: Cross multiply
    7,258.92x = 10,017.31 × 4,115.11
  4. Step 4: Simplify right side
    7,258.92x = 41,222,282.47
  5. Step 5: Solve for x
    x = 41,222,282.47/7,258.92
  6. Step 6: Final answer
    x = 5,678.85

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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.