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Finding the Fourth Proportional to 6,711.64, 10,069.86 and 3,425.56

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Solution

The fourth proportional to 6,711.64, 10,069.86 and 3,425.56 is: 5,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.64 : 10,069.86 = 3,425.56 : x
  2. Step 2: Convert to fraction form
    6,711.64/10,069.86 = 3,425.56/x
  3. Step 3: Cross multiply
    6,711.64x = 10,069.86 × 3,425.56
  4. Step 4: Simplify right side
    6,711.64x = 34,494,909.62
  5. Step 5: Solve for x
    x = 34,494,909.62/6,711.64
  6. Step 6: Final answer
    x = 5,139.56

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1.5x scale

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.