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Finding the Fourth Proportional to 7,729, 10,670.66 and 5,081

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Solution

The fourth proportional to 7,729, 10,670.66 and 5,081 is: 7,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729 : 10,670.66 = 5,081 : x
  2. Step 2: Convert to fraction form
    7,729/10,670.66 = 5,081/x
  3. Step 3: Cross multiply
    7,729x = 10,670.66 × 5,081
  4. Step 4: Simplify right side
    7,729x = 54,217,623.46
  5. Step 5: Solve for x
    x = 54,217,623.46/7,729
  6. Step 6: Final answer
    x = 7,014.83

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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.