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Finding the Fourth Proportional to 7,181.36, 9,906 and 4,382

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Solution

The fourth proportional to 7,181.36, 9,906 and 4,382 is: 6,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.36 : 9,906 = 4,382 : x
  2. Step 2: Convert to fraction form
    7,181.36/9,906 = 4,382/x
  3. Step 3: Cross multiply
    7,181.36x = 9,906 × 4,382
  4. Step 4: Simplify right side
    7,181.36x = 43,408,092
  5. Step 5: Solve for x
    x = 43,408,092/7,181.36
  6. Step 6: Final answer
    x = 6,044.55

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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.