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Finding the Fourth Proportional to 6,690.17, 10,031.94 and 3,917.54

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Solution

The fourth proportional to 6,690.17, 10,031.94 and 3,917.54 is: 5,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.17 : 10,031.94 = 3,917.54 : x
  2. Step 2: Convert to fraction form
    6,690.17/10,031.94 = 3,917.54/x
  3. Step 3: Cross multiply
    6,690.17x = 10,031.94 × 3,917.54
  4. Step 4: Simplify right side
    6,690.17x = 39,300,476.07
  5. Step 5: Solve for x
    x = 39,300,476.07/6,690.17
  6. Step 6: Final answer
    x = 5,874.37

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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.