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Finding the Fourth Proportional to 7,930.81, 11,863.34 and 6,042.42

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Solution

The fourth proportional to 7,930.81, 11,863.34 and 6,042.42 is: 9,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.81 : 11,863.34 = 6,042.42 : x
  2. Step 2: Convert to fraction form
    7,930.81/11,863.34 = 6,042.42/x
  3. Step 3: Cross multiply
    7,930.81x = 11,863.34 × 6,042.42
  4. Step 4: Simplify right side
    7,930.81x = 71,683,282.88
  5. Step 5: Solve for x
    x = 71,683,282.88/7,930.81
  6. Step 6: Final answer
    x = 9,038.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.