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Finding the Fourth Proportional to 5,286.91, 7,295.99 and 2,929.11

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Solution

The fourth proportional to 5,286.91, 7,295.99 and 2,929.11 is: 4,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.91 : 7,295.99 = 2,929.11 : x
  2. Step 2: Convert to fraction form
    5,286.91/7,295.99 = 2,929.11/x
  3. Step 3: Cross multiply
    5,286.91x = 7,295.99 × 2,929.11
  4. Step 4: Simplify right side
    5,286.91x = 21,370,757.27
  5. Step 5: Solve for x
    x = 21,370,757.27/5,286.91
  6. Step 6: Final answer
    x = 4,042.20

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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.