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Finding the Fourth Proportional to 20,358, 28,086.48 and 12,791.52

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Solution

The fourth proportional to 20,358, 28,086.48 and 12,791.52 is: 17,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,358 : 28,086.48 = 12,791.52 : x
  2. Step 2: Convert to fraction form
    20,358/28,086.48 = 12,791.52/x
  3. Step 3: Cross multiply
    20,358x = 28,086.48 × 12,791.52
  4. Step 4: Simplify right side
    20,358x = 359,268,770.65
  5. Step 5: Solve for x
    x = 359,268,770.65/20,358
  6. Step 6: Final answer
    x = 17,647.55

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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.