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Finding the Fourth Proportional to 14,443.88, 21,665.82 and 5,209.88

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Solution

The fourth proportional to 14,443.88, 21,665.82 and 5,209.88 is: 7,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.88 : 21,665.82 = 5,209.88 : x
  2. Step 2: Convert to fraction form
    14,443.88/21,665.82 = 5,209.88/x
  3. Step 3: Cross multiply
    14,443.88x = 21,665.82 × 5,209.88
  4. Step 4: Simplify right side
    14,443.88x = 112,876,213.97
  5. Step 5: Solve for x
    x = 112,876,213.97/14,443.88
  6. Step 6: Final answer
    x = 7,814.82

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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.