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Finding the Fourth Proportional to 7,207.28, 9,950 and 4,981.16

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Solution

The fourth proportional to 7,207.28, 9,950 and 4,981.16 is: 6,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.28 : 9,950 = 4,981.16 : x
  2. Step 2: Convert to fraction form
    7,207.28/9,950 = 4,981.16/x
  3. Step 3: Cross multiply
    7,207.28x = 9,950 × 4,981.16
  4. Step 4: Simplify right side
    7,207.28x = 49,562,542
  5. Step 5: Solve for x
    x = 49,562,542/7,207.28
  6. Step 6: Final answer
    x = 6,876.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.