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Finding the Fourth Proportional to 27,867.82, 38,470.80 and 17,663.94

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Solution

The fourth proportional to 27,867.82, 38,470.80 and 17,663.94 is: 24,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867.82 : 38,470.80 = 17,663.94 : x
  2. Step 2: Convert to fraction form
    27,867.82/38,470.80 = 17,663.94/x
  3. Step 3: Cross multiply
    27,867.82x = 38,470.80 × 17,663.94
  4. Step 4: Simplify right side
    27,867.82x = 679,545,902.95
  5. Step 5: Solve for x
    x = 679,545,902.95/27,867.82
  6. Step 6: Final answer
    x = 24,384.61

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