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Finding the Fourth Proportional to 27,806, 38,372.40 and 17,870

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Solution

The fourth proportional to 27,806, 38,372.40 and 17,870 is: 24,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806 : 38,372.40 = 17,870 : x
  2. Step 2: Convert to fraction form
    27,806/38,372.40 = 17,870/x
  3. Step 3: Cross multiply
    27,806x = 38,372.40 × 17,870
  4. Step 4: Simplify right side
    27,806x = 685,714,788
  5. Step 5: Solve for x
    x = 685,714,788/27,806
  6. Step 6: Final answer
    x = 24,660.68

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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.