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Finding the Fourth Proportional to 8,661.60, 12,992.70 and 2,738.55

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Solution

The fourth proportional to 8,661.60, 12,992.70 and 2,738.55 is: 4,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.60 : 12,992.70 = 2,738.55 : x
  2. Step 2: Convert to fraction form
    8,661.60/12,992.70 = 2,738.55/x
  3. Step 3: Cross multiply
    8,661.60x = 12,992.70 × 2,738.55
  4. Step 4: Simplify right side
    8,661.60x = 35,581,158.59
  5. Step 5: Solve for x
    x = 35,581,158.59/8,661.60
  6. Step 6: Final answer
    x = 4,107.92

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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.