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Finding the Fourth Proportional to 27,974.20, 38,605.20 and 15,228.20

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Solution

The fourth proportional to 27,974.20, 38,605.20 and 15,228.20 is: 21,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974.20 : 38,605.20 = 15,228.20 : x
  2. Step 2: Convert to fraction form
    27,974.20/38,605.20 = 15,228.20/x
  3. Step 3: Cross multiply
    27,974.20x = 38,605.20 × 15,228.20
  4. Step 4: Simplify right side
    27,974.20x = 587,887,630.50
  5. Step 5: Solve for x
    x = 587,887,630.50/27,974.20
  6. Step 6: Final answer
    x = 21,015.35

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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.