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Finding the Fourth Proportional to 7,290.27, 10,934.87 and 2,908.71

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Solution

The fourth proportional to 7,290.27, 10,934.87 and 2,908.71 is: 4,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.27 : 10,934.87 = 2,908.71 : x
  2. Step 2: Convert to fraction form
    7,290.27/10,934.87 = 2,908.71/x
  3. Step 3: Cross multiply
    7,290.27x = 10,934.87 × 2,908.71
  4. Step 4: Simplify right side
    7,290.27x = 31,806,351.17
  5. Step 5: Solve for x
    x = 31,806,351.17/7,290.27
  6. Step 6: Final answer
    x = 4,362.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.