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Finding the Fourth Proportional to 27,805, 38,370.90 and 15,230.20

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Solution

The fourth proportional to 27,805, 38,370.90 and 15,230.20 is: 21,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805 : 38,370.90 = 15,230.20 : x
  2. Step 2: Convert to fraction form
    27,805/38,370.90 = 15,230.20/x
  3. Step 3: Cross multiply
    27,805x = 38,370.90 × 15,230.20
  4. Step 4: Simplify right side
    27,805x = 584,396,481.18
  5. Step 5: Solve for x
    x = 584,396,481.18/27,805
  6. Step 6: Final answer
    x = 21,017.68

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1.5x scale

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.