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Finding the Fourth Proportional to 6,605.80, 9,902.70 and 3,317.16

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Solution

The fourth proportional to 6,605.80, 9,902.70 and 3,317.16 is: 4,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.80 : 9,902.70 = 3,317.16 : x
  2. Step 2: Convert to fraction form
    6,605.80/9,902.70 = 3,317.16/x
  3. Step 3: Cross multiply
    6,605.80x = 9,902.70 × 3,317.16
  4. Step 4: Simplify right side
    6,605.80x = 32,848,840.33
  5. Step 5: Solve for x
    x = 32,848,840.33/6,605.80
  6. Step 6: Final answer
    x = 4,972.73

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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.