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Finding the Fourth Proportional to 20,806, 28,712.04 and 11,374.48

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Solution

The fourth proportional to 20,806, 28,712.04 and 11,374.48 is: 15,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806 : 28,712.04 = 11,374.48 : x
  2. Step 2: Convert to fraction form
    20,806/28,712.04 = 11,374.48/x
  3. Step 3: Cross multiply
    20,806x = 28,712.04 × 11,374.48
  4. Step 4: Simplify right side
    20,806x = 326,584,524.74
  5. Step 5: Solve for x
    x = 326,584,524.74/20,806
  6. Step 6: Final answer
    x = 15,696.65

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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.