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Finding the Fourth Proportional to 6,464, 9,696 and 2,081.90

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Solution

The fourth proportional to 6,464, 9,696 and 2,081.90 is: 3,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464 : 9,696 = 2,081.90 : x
  2. Step 2: Convert to fraction form
    6,464/9,696 = 2,081.90/x
  3. Step 3: Cross multiply
    6,464x = 9,696 × 2,081.90
  4. Step 4: Simplify right side
    6,464x = 20,186,102.40
  5. Step 5: Solve for x
    x = 20,186,102.40/6,464
  6. Step 6: Final answer
    x = 3,122.85

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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.