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Finding the Fourth Proportional to 38,590.89, 57,891.80 and 12,286.81

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Solution

The fourth proportional to 38,590.89, 57,891.80 and 12,286.81 is: 18,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,590.89 : 57,891.80 = 12,286.81 : x
  2. Step 2: Convert to fraction form
    38,590.89/57,891.80 = 12,286.81/x
  3. Step 3: Cross multiply
    38,590.89x = 57,891.80 × 12,286.81
  4. Step 4: Simplify right side
    38,590.89x = 711,305,547.16
  5. Step 5: Solve for x
    x = 711,305,547.16/38,590.89
  6. Step 6: Final answer
    x = 18,431.95

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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.