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Finding the Fourth Proportional to 12,920.70, 17,827.80 and 8,451

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Solution

The fourth proportional to 12,920.70, 17,827.80 and 8,451 is: 11,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.70 : 17,827.80 = 8,451 : x
  2. Step 2: Convert to fraction form
    12,920.70/17,827.80 = 8,451/x
  3. Step 3: Cross multiply
    12,920.70x = 17,827.80 × 8,451
  4. Step 4: Simplify right side
    12,920.70x = 150,662,737.80
  5. Step 5: Solve for x
    x = 150,662,737.80/12,920.70
  6. Step 6: Final answer
    x = 11,660.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.