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Finding the Fourth Proportional to 6,602.50, 9,891.38 and 3,311.74

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Solution

The fourth proportional to 6,602.50, 9,891.38 and 3,311.74 is: 4,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.50 : 9,891.38 = 3,311.74 : x
  2. Step 2: Convert to fraction form
    6,602.50/9,891.38 = 3,311.74/x
  3. Step 3: Cross multiply
    6,602.50x = 9,891.38 × 3,311.74
  4. Step 4: Simplify right side
    6,602.50x = 32,757,678.80
  5. Step 5: Solve for x
    x = 32,757,678.80/6,602.50
  6. Step 6: Final answer
    x = 4,961.41

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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.