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Finding the Fourth Proportional to 27,958, 38,582.04 and 15,382.48

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Solution

The fourth proportional to 27,958, 38,582.04 and 15,382.48 is: 21,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,958 : 38,582.04 = 15,382.48 : x
  2. Step 2: Convert to fraction form
    27,958/38,582.04 = 15,382.48/x
  3. Step 3: Cross multiply
    27,958x = 38,582.04 × 15,382.48
  4. Step 4: Simplify right side
    27,958x = 593,487,458.66
  5. Step 5: Solve for x
    x = 593,487,458.66/27,958
  6. Step 6: Final answer
    x = 21,227.82

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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.