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Finding the Fourth Proportional to 27,718, 38,251.68 and 15,143.56

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Solution

The fourth proportional to 27,718, 38,251.68 and 15,143.56 is: 20,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718 : 38,251.68 = 15,143.56 : x
  2. Step 2: Convert to fraction form
    27,718/38,251.68 = 15,143.56/x
  3. Step 3: Cross multiply
    27,718x = 38,251.68 × 15,143.56
  4. Step 4: Simplify right side
    27,718x = 579,266,611.18
  5. Step 5: Solve for x
    x = 579,266,611.18/27,718
  6. Step 6: Final answer
    x = 20,898.57

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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.