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Finding the Fourth Proportional to 6,307, 8,705.82 and 3,823

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Solution

The fourth proportional to 6,307, 8,705.82 and 3,823 is: 5,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307 : 8,705.82 = 3,823 : x
  2. Step 2: Convert to fraction form
    6,307/8,705.82 = 3,823/x
  3. Step 3: Cross multiply
    6,307x = 8,705.82 × 3,823
  4. Step 4: Simplify right side
    6,307x = 33,282,349.86
  5. Step 5: Solve for x
    x = 33,282,349.86/6,307
  6. Step 6: Final answer
    x = 5,277.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.