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Finding the Fourth Proportional to 6,559, 9,049.50 and 3,905.08

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Solution

The fourth proportional to 6,559, 9,049.50 and 3,905.08 is: 5,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559 : 9,049.50 = 3,905.08 : x
  2. Step 2: Convert to fraction form
    6,559/9,049.50 = 3,905.08/x
  3. Step 3: Cross multiply
    6,559x = 9,049.50 × 3,905.08
  4. Step 4: Simplify right side
    6,559x = 35,339,021.46
  5. Step 5: Solve for x
    x = 35,339,021.46/6,559
  6. Step 6: Final answer
    x = 5,387.87

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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.