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Finding the Fourth Proportional to 6,690.56, 10,042 and 3,406

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Solution

The fourth proportional to 6,690.56, 10,042 and 3,406 is: 5,112.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.56 : 10,042 = 3,406 : x
  2. Step 2: Convert to fraction form
    6,690.56/10,042 = 3,406/x
  3. Step 3: Cross multiply
    6,690.56x = 10,042 × 3,406
  4. Step 4: Simplify right side
    6,690.56x = 34,203,052
  5. Step 5: Solve for x
    x = 34,203,052/6,690.56
  6. Step 6: Final answer
    x = 5,112.14

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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.