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Finding the Fourth Proportional to 5,286, 7,931.92 and 2,947.32

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Solution

The fourth proportional to 5,286, 7,931.92 and 2,947.32 is: 4,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286 : 7,931.92 = 2,947.32 : x
  2. Step 2: Convert to fraction form
    5,286/7,931.92 = 2,947.32/x
  3. Step 3: Cross multiply
    5,286x = 7,931.92 × 2,947.32
  4. Step 4: Simplify right side
    5,286x = 23,377,899.09
  5. Step 5: Solve for x
    x = 23,377,899.09/5,286
  6. Step 6: Final answer
    x = 4,422.61

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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.