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Finding the Fourth Proportional to 6,213.60, 9,305.82 and 4,815.81

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Solution

The fourth proportional to 6,213.60, 9,305.82 and 4,815.81 is: 7,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.60 : 9,305.82 = 4,815.81 : x
  2. Step 2: Convert to fraction form
    6,213.60/9,305.82 = 4,815.81/x
  3. Step 3: Cross multiply
    6,213.60x = 9,305.82 × 4,815.81
  4. Step 4: Simplify right side
    6,213.60x = 44,815,061.01
  5. Step 5: Solve for x
    x = 44,815,061.01/6,213.60
  6. Step 6: Final answer
    x = 7,212.41

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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.