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Finding the Fourth Proportional to 7,915.76, 11,865.88 and 6,438

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Solution

The fourth proportional to 7,915.76, 11,865.88 and 6,438 is: 9,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.76 : 11,865.88 = 6,438 : x
  2. Step 2: Convert to fraction form
    7,915.76/11,865.88 = 6,438/x
  3. Step 3: Cross multiply
    7,915.76x = 11,865.88 × 6,438
  4. Step 4: Simplify right side
    7,915.76x = 76,392,535.44
  5. Step 5: Solve for x
    x = 76,392,535.44/7,915.76
  6. Step 6: Final answer
    x = 9,650.69

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1.5x scale

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.