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Finding the Fourth Proportional to 12,227.66, 18,330.48 and 4,431

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Solution

The fourth proportional to 12,227.66, 18,330.48 and 4,431 is: 6,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.66 : 18,330.48 = 4,431 : x
  2. Step 2: Convert to fraction form
    12,227.66/18,330.48 = 4,431/x
  3. Step 3: Cross multiply
    12,227.66x = 18,330.48 × 4,431
  4. Step 4: Simplify right side
    12,227.66x = 81,222,356.88
  5. Step 5: Solve for x
    x = 81,222,356.88/12,227.66
  6. Step 6: Final answer
    x = 6,642.51

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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.