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Finding the Fourth Proportional to 27,993.60, 41,983.11 and 9,275.31

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Solution

The fourth proportional to 27,993.60, 41,983.11 and 9,275.31 is: 13,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993.60 : 41,983.11 = 9,275.31 : x
  2. Step 2: Convert to fraction form
    27,993.60/41,983.11 = 9,275.31/x
  3. Step 3: Cross multiply
    27,993.60x = 41,983.11 × 9,275.31
  4. Step 4: Simplify right side
    27,993.60x = 389,406,360.01
  5. Step 5: Solve for x
    x = 389,406,360.01/27,993.60
  6. Step 6: Final answer
    x = 13,910.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.