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Finding the Fourth Proportional to 6,885.76, 9,502.42 and 3,741.98

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Solution

The fourth proportional to 6,885.76, 9,502.42 and 3,741.98 is: 5,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.76 : 9,502.42 = 3,741.98 : x
  2. Step 2: Convert to fraction form
    6,885.76/9,502.42 = 3,741.98/x
  3. Step 3: Cross multiply
    6,885.76x = 9,502.42 × 3,741.98
  4. Step 4: Simplify right side
    6,885.76x = 35,557,865.59
  5. Step 5: Solve for x
    x = 35,557,865.59/6,885.76
  6. Step 6: Final answer
    x = 5,163.97

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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.