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Finding the Fourth Proportional to 7,217, 9,959.46 and 3,905

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Solution

The fourth proportional to 7,217, 9,959.46 and 3,905 is: 5,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217 : 9,959.46 = 3,905 : x
  2. Step 2: Convert to fraction form
    7,217/9,959.46 = 3,905/x
  3. Step 3: Cross multiply
    7,217x = 9,959.46 × 3,905
  4. Step 4: Simplify right side
    7,217x = 38,891,691.30
  5. Step 5: Solve for x
    x = 38,891,691.30/7,217
  6. Step 6: Final answer
    x = 5,388.90

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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.