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Finding the Fourth Proportional to 3,163.74, 4,366.08 and 1,766.76

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Solution

The fourth proportional to 3,163.74, 4,366.08 and 1,766.76 is: 2,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.74 : 4,366.08 = 1,766.76 : x
  2. Step 2: Convert to fraction form
    3,163.74/4,366.08 = 1,766.76/x
  3. Step 3: Cross multiply
    3,163.74x = 4,366.08 × 1,766.76
  4. Step 4: Simplify right side
    3,163.74x = 7,713,815.50
  5. Step 5: Solve for x
    x = 7,713,815.50/3,163.74
  6. Step 6: Final answer
    x = 2,438.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.