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Finding the Fourth Proportional to 14,661, 21,995.15 and 4,272.75

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Solution

The fourth proportional to 14,661, 21,995.15 and 4,272.75 is: 6,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661 : 21,995.15 = 4,272.75 : x
  2. Step 2: Convert to fraction form
    14,661/21,995.15 = 4,272.75/x
  3. Step 3: Cross multiply
    14,661x = 21,995.15 × 4,272.75
  4. Step 4: Simplify right side
    14,661x = 93,979,755.80
  5. Step 5: Solve for x
    x = 93,979,755.80/14,661
  6. Step 6: Final answer
    x = 6,410.19

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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.