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Finding the Fourth Proportional to 29,198, 40,293.40 and 15,950

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Solution

The fourth proportional to 29,198, 40,293.40 and 15,950 is: 22,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,198 : 40,293.40 = 15,950 : x
  2. Step 2: Convert to fraction form
    29,198/40,293.40 = 15,950/x
  3. Step 3: Cross multiply
    29,198x = 40,293.40 × 15,950
  4. Step 4: Simplify right side
    29,198x = 642,679,730
  5. Step 5: Solve for x
    x = 642,679,730/29,198
  6. Step 6: Final answer
    x = 22,011.09

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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.