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Finding the Fourth Proportional to 6,708, 10,066.86 and 3,423.84

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Solution

The fourth proportional to 6,708, 10,066.86 and 3,423.84 is: 5,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708 : 10,066.86 = 3,423.84 : x
  2. Step 2: Convert to fraction form
    6,708/10,066.86 = 3,423.84/x
  3. Step 3: Cross multiply
    6,708x = 10,066.86 × 3,423.84
  4. Step 4: Simplify right side
    6,708x = 34,467,317.94
  5. Step 5: Solve for x
    x = 34,467,317.94/6,708
  6. Step 6: Final answer
    x = 5,138.24

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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.