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Finding the Fourth Proportional to 10,915.75, 15,063.74 and 5,947.75

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Solution

The fourth proportional to 10,915.75, 15,063.74 and 5,947.75 is: 8,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.75 : 15,063.74 = 5,947.75 : x
  2. Step 2: Convert to fraction form
    10,915.75/15,063.74 = 5,947.75/x
  3. Step 3: Cross multiply
    10,915.75x = 15,063.74 × 5,947.75
  4. Step 4: Simplify right side
    10,915.75x = 89,595,329.85
  5. Step 5: Solve for x
    x = 89,595,329.85/10,915.75
  6. Step 6: Final answer
    x = 8,207.90

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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.