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Finding the Fourth Proportional to 8,393.64, 12,591.56 and 2,769.44

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Solution

The fourth proportional to 8,393.64, 12,591.56 and 2,769.44 is: 4,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.64 : 12,591.56 = 2,769.44 : x
  2. Step 2: Convert to fraction form
    8,393.64/12,591.56 = 2,769.44/x
  3. Step 3: Cross multiply
    8,393.64x = 12,591.56 × 2,769.44
  4. Step 4: Simplify right side
    8,393.64x = 34,871,569.93
  5. Step 5: Solve for x
    x = 34,871,569.93/8,393.64
  6. Step 6: Final answer
    x = 4,154.52

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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.