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Finding the Fourth Proportional to 7,224.82, 9,970.44 and 4,081

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Solution

The fourth proportional to 7,224.82, 9,970.44 and 4,081 is: 5,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.82 : 9,970.44 = 4,081 : x
  2. Step 2: Convert to fraction form
    7,224.82/9,970.44 = 4,081/x
  3. Step 3: Cross multiply
    7,224.82x = 9,970.44 × 4,081
  4. Step 4: Simplify right side
    7,224.82x = 40,689,365.64
  5. Step 5: Solve for x
    x = 40,689,365.64/7,224.82
  6. Step 6: Final answer
    x = 5,631.89

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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.