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Finding the Fourth Proportional to 14,348, 21,530.22 and 5,581.80

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Solution

The fourth proportional to 14,348, 21,530.22 and 5,581.80 is: 8,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348 : 21,530.22 = 5,581.80 : x
  2. Step 2: Convert to fraction form
    14,348/21,530.22 = 5,581.80/x
  3. Step 3: Cross multiply
    14,348x = 21,530.22 × 5,581.80
  4. Step 4: Simplify right side
    14,348x = 120,177,382.00
  5. Step 5: Solve for x
    x = 120,177,382.00/14,348
  6. Step 6: Final answer
    x = 8,375.90

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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.