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Finding the Fourth Proportional to 6,558, 9,838.62 and 1,941

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Solution

The fourth proportional to 6,558, 9,838.62 and 1,941 is: 2,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558 : 9,838.62 = 1,941 : x
  2. Step 2: Convert to fraction form
    6,558/9,838.62 = 1,941/x
  3. Step 3: Cross multiply
    6,558x = 9,838.62 × 1,941
  4. Step 4: Simplify right side
    6,558x = 19,096,761.42
  5. Step 5: Solve for x
    x = 19,096,761.42/6,558
  6. Step 6: Final answer
    x = 2,911.98

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Why These Related Problems?

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