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Finding the Fourth Proportional to 8,572.70, 12,860 and 2,727.95

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Solution

The fourth proportional to 8,572.70, 12,860 and 2,727.95 is: 4,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.70 : 12,860 = 2,727.95 : x
  2. Step 2: Convert to fraction form
    8,572.70/12,860 = 2,727.95/x
  3. Step 3: Cross multiply
    8,572.70x = 12,860 × 2,727.95
  4. Step 4: Simplify right side
    8,572.70x = 35,081,437
  5. Step 5: Solve for x
    x = 35,081,437/8,572.70
  6. Step 6: Final answer
    x = 4,092.23

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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.