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Finding the Fourth Proportional to 7,489, 10,334.82 and 4,177

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Solution

The fourth proportional to 7,489, 10,334.82 and 4,177 is: 5,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489 : 10,334.82 = 4,177 : x
  2. Step 2: Convert to fraction form
    7,489/10,334.82 = 4,177/x
  3. Step 3: Cross multiply
    7,489x = 10,334.82 × 4,177
  4. Step 4: Simplify right side
    7,489x = 43,168,543.14
  5. Step 5: Solve for x
    x = 43,168,543.14/7,489
  6. Step 6: Final answer
    x = 5,764.26

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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.