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Finding the Fourth Proportional to 5,286.89, 7,929.72 and 2,164.74

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Solution

The fourth proportional to 5,286.89, 7,929.72 and 2,164.74 is: 3,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.89 : 7,929.72 = 2,164.74 : x
  2. Step 2: Convert to fraction form
    5,286.89/7,929.72 = 2,164.74/x
  3. Step 3: Cross multiply
    5,286.89x = 7,929.72 × 2,164.74
  4. Step 4: Simplify right side
    5,286.89x = 17,165,782.07
  5. Step 5: Solve for x
    x = 17,165,782.07/5,286.89
  6. Step 6: Final answer
    x = 3,246.86

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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.