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Finding the Fourth Proportional to 7,282.62, 10,049.67 and 4,138.74

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Solution

The fourth proportional to 7,282.62, 10,049.67 and 4,138.74 is: 5,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.62 : 10,049.67 = 4,138.74 : x
  2. Step 2: Convert to fraction form
    7,282.62/10,049.67 = 4,138.74/x
  3. Step 3: Cross multiply
    7,282.62x = 10,049.67 × 4,138.74
  4. Step 4: Simplify right side
    7,282.62x = 41,592,971.22
  5. Step 5: Solve for x
    x = 41,592,971.22/7,282.62
  6. Step 6: Final answer
    x = 5,711.26

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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.