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Finding the Fourth Proportional to 29,207, 43,801.22 and 9,481

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Solution

The fourth proportional to 29,207, 43,801.22 and 9,481 is: 14,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,207 : 43,801.22 = 9,481 : x
  2. Step 2: Convert to fraction form
    29,207/43,801.22 = 9,481/x
  3. Step 3: Cross multiply
    29,207x = 43,801.22 × 9,481
  4. Step 4: Simplify right side
    29,207x = 415,279,366.82
  5. Step 5: Solve for x
    x = 415,279,366.82/29,207
  6. Step 6: Final answer
    x = 14,218.49

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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.