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Finding the Fourth Proportional to 8,591.68, 12,886.32 and 2,748.80

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Solution

The fourth proportional to 8,591.68, 12,886.32 and 2,748.80 is: 4,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.68 : 12,886.32 = 2,748.80 : x
  2. Step 2: Convert to fraction form
    8,591.68/12,886.32 = 2,748.80/x
  3. Step 3: Cross multiply
    8,591.68x = 12,886.32 × 2,748.80
  4. Step 4: Simplify right side
    8,591.68x = 35,421,916.42
  5. Step 5: Solve for x
    x = 35,421,916.42/8,591.68
  6. Step 6: Final answer
    x = 4,122.82

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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.