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Finding the Fourth Proportional to 31,536, 43,519.68 and 18,288

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Solution

The fourth proportional to 31,536, 43,519.68 and 18,288 is: 25,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,536 : 43,519.68 = 18,288 : x
  2. Step 2: Convert to fraction form
    31,536/43,519.68 = 18,288/x
  3. Step 3: Cross multiply
    31,536x = 43,519.68 × 18,288
  4. Step 4: Simplify right side
    31,536x = 795,887,907.84
  5. Step 5: Solve for x
    x = 795,887,907.84/31,536
  6. Step 6: Final answer
    x = 25,237.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.