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Finding the Fourth Proportional to 5,885.82, 8,123.58 and 3,896.46

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Solution

The fourth proportional to 5,885.82, 8,123.58 and 3,896.46 is: 5,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.82 : 8,123.58 = 3,896.46 : x
  2. Step 2: Convert to fraction form
    5,885.82/8,123.58 = 3,896.46/x
  3. Step 3: Cross multiply
    5,885.82x = 8,123.58 × 3,896.46
  4. Step 4: Simplify right side
    5,885.82x = 31,653,204.53
  5. Step 5: Solve for x
    x = 31,653,204.53/5,885.82
  6. Step 6: Final answer
    x = 5,377.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.