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Finding the Fourth Proportional to 6,191.84, 9,285.03 and 2,905.88

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Solution

The fourth proportional to 6,191.84, 9,285.03 and 2,905.88 is: 4,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.84 : 9,285.03 = 2,905.88 : x
  2. Step 2: Convert to fraction form
    6,191.84/9,285.03 = 2,905.88/x
  3. Step 3: Cross multiply
    6,191.84x = 9,285.03 × 2,905.88
  4. Step 4: Simplify right side
    6,191.84x = 26,981,136.55
  5. Step 5: Solve for x
    x = 26,981,136.55/6,191.84
  6. Step 6: Final answer
    x = 4,357.53

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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.