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Finding the Fourth Proportional to 27,908, 38,521.68 and 17,972

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Solution

The fourth proportional to 27,908, 38,521.68 and 17,972 is: 24,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,908 : 38,521.68 = 17,972 : x
  2. Step 2: Convert to fraction form
    27,908/38,521.68 = 17,972/x
  3. Step 3: Cross multiply
    27,908x = 38,521.68 × 17,972
  4. Step 4: Simplify right side
    27,908x = 692,311,632.96
  5. Step 5: Solve for x
    x = 692,311,632.96/27,908
  6. Step 6: Final answer
    x = 24,806.92

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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.