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Finding the Fourth Proportional to 6,469.80, 9,690.30 and 5,317.80

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Solution

The fourth proportional to 6,469.80, 9,690.30 and 5,317.80 is: 7,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.80 : 9,690.30 = 5,317.80 : x
  2. Step 2: Convert to fraction form
    6,469.80/9,690.30 = 5,317.80/x
  3. Step 3: Cross multiply
    6,469.80x = 9,690.30 × 5,317.80
  4. Step 4: Simplify right side
    6,469.80x = 51,531,077.34
  5. Step 5: Solve for x
    x = 51,531,077.34/6,469.80
  6. Step 6: Final answer
    x = 7,964.86

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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.