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Finding the Fourth Proportional to 6,670, 9,204.60 and 3,877.12

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Solution

The fourth proportional to 6,670, 9,204.60 and 3,877.12 is: 5,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670 : 9,204.60 = 3,877.12 : x
  2. Step 2: Convert to fraction form
    6,670/9,204.60 = 3,877.12/x
  3. Step 3: Cross multiply
    6,670x = 9,204.60 × 3,877.12
  4. Step 4: Simplify right side
    6,670x = 35,687,338.75
  5. Step 5: Solve for x
    x = 35,687,338.75/6,670
  6. Step 6: Final answer
    x = 5,350.43

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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.