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Finding the Fourth Proportional to 27,987.75, 41,981.63 and 9,519.75

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Solution

The fourth proportional to 27,987.75, 41,981.63 and 9,519.75 is: 14,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.75 : 41,981.63 = 9,519.75 : x
  2. Step 2: Convert to fraction form
    27,987.75/41,981.63 = 9,519.75/x
  3. Step 3: Cross multiply
    27,987.75x = 41,981.63 × 9,519.75
  4. Step 4: Simplify right side
    27,987.75x = 399,654,574.59
  5. Step 5: Solve for x
    x = 399,654,574.59/27,987.75
  6. Step 6: Final answer
    x = 14,279.63

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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.