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Finding the Fourth Proportional to 6,538.70, 9,811.70 and 3,616.62

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Solution

The fourth proportional to 6,538.70, 9,811.70 and 3,616.62 is: 5,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.70 : 9,811.70 = 3,616.62 : x
  2. Step 2: Convert to fraction form
    6,538.70/9,811.70 = 3,616.62/x
  3. Step 3: Cross multiply
    6,538.70x = 9,811.70 × 3,616.62
  4. Step 4: Simplify right side
    6,538.70x = 35,485,190.45
  5. Step 5: Solve for x
    x = 35,485,190.45/6,538.70
  6. Step 6: Final answer
    x = 5,426.95

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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.