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Finding the Fourth Proportional to 6,809.61, 10,207.16 and 3,881.61

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Solution

The fourth proportional to 6,809.61, 10,207.16 and 3,881.61 is: 5,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.61 : 10,207.16 = 3,881.61 : x
  2. Step 2: Convert to fraction form
    6,809.61/10,207.16 = 3,881.61/x
  3. Step 3: Cross multiply
    6,809.61x = 10,207.16 × 3,881.61
  4. Step 4: Simplify right side
    6,809.61x = 39,620,194.92
  5. Step 5: Solve for x
    x = 39,620,194.92/6,809.61
  6. Step 6: Final answer
    x = 5,818.28

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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.