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Finding the Fourth Proportional to 7,275.78, 10,913.64 and 2,081.64

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Solution

The fourth proportional to 7,275.78, 10,913.64 and 2,081.64 is: 3,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275.78 : 10,913.64 = 2,081.64 : x
  2. Step 2: Convert to fraction form
    7,275.78/10,913.64 = 2,081.64/x
  3. Step 3: Cross multiply
    7,275.78x = 10,913.64 × 2,081.64
  4. Step 4: Simplify right side
    7,275.78x = 22,718,269.57
  5. Step 5: Solve for x
    x = 22,718,269.57/7,275.78
  6. Step 6: Final answer
    x = 3,122.45

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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.