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Finding the Fourth Proportional to 27,919.20, 41,878.80 and 20,920.80

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Solution

The fourth proportional to 27,919.20, 41,878.80 and 20,920.80 is: 31,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,919.20 : 41,878.80 = 20,920.80 : x
  2. Step 2: Convert to fraction form
    27,919.20/41,878.80 = 20,920.80/x
  3. Step 3: Cross multiply
    27,919.20x = 41,878.80 × 20,920.80
  4. Step 4: Simplify right side
    27,919.20x = 876,137,999.04
  5. Step 5: Solve for x
    x = 876,137,999.04/27,919.20
  6. Step 6: Final answer
    x = 31,381.20

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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.