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Finding the Fourth Proportional to 27,543.20, 41,314.80 and 19,824.80

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Solution

The fourth proportional to 27,543.20, 41,314.80 and 19,824.80 is: 29,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.20 : 41,314.80 = 19,824.80 : x
  2. Step 2: Convert to fraction form
    27,543.20/41,314.80 = 19,824.80/x
  3. Step 3: Cross multiply
    27,543.20x = 41,314.80 × 19,824.80
  4. Step 4: Simplify right side
    27,543.20x = 819,057,647.04
  5. Step 5: Solve for x
    x = 819,057,647.04/27,543.20
  6. Step 6: Final answer
    x = 29,737.20

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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.