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Finding the Fourth Proportional to 7,261, 10,020.18 and 3,949

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Solution

The fourth proportional to 7,261, 10,020.18 and 3,949 is: 5,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261 : 10,020.18 = 3,949 : x
  2. Step 2: Convert to fraction form
    7,261/10,020.18 = 3,949/x
  3. Step 3: Cross multiply
    7,261x = 10,020.18 × 3,949
  4. Step 4: Simplify right side
    7,261x = 39,569,690.82
  5. Step 5: Solve for x
    x = 39,569,690.82/7,261
  6. Step 6: Final answer
    x = 5,449.62

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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.