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Finding the Fourth Proportional to 18,657, 27,995.22 and 8,266.32

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Solution

The fourth proportional to 18,657, 27,995.22 and 8,266.32 is: 12,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657 : 27,995.22 = 8,266.32 : x
  2. Step 2: Convert to fraction form
    18,657/27,995.22 = 8,266.32/x
  3. Step 3: Cross multiply
    18,657x = 27,995.22 × 8,266.32
  4. Step 4: Simplify right side
    18,657x = 231,417,446.99
  5. Step 5: Solve for x
    x = 231,417,446.99/18,657
  6. Step 6: Final answer
    x = 12,403.79

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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.