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Finding the Fourth Proportional to 6,207.82, 8,564.64 and 3,971.00

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Solution

The fourth proportional to 6,207.82, 8,564.64 and 3,971.00 is: 5,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.82 : 8,564.64 = 3,971.00 : x
  2. Step 2: Convert to fraction form
    6,207.82/8,564.64 = 3,971.00/x
  3. Step 3: Cross multiply
    6,207.82x = 8,564.64 × 3,971.00
  4. Step 4: Simplify right side
    6,207.82x = 34,010,191.96
  5. Step 5: Solve for x
    x = 34,010,191.96/6,207.82
  6. Step 6: Final answer
    x = 5,478.61

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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.