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Finding the Fourth Proportional to 2,601.84, 3,900.74 and 1,766.70

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Solution

The fourth proportional to 2,601.84, 3,900.74 and 1,766.70 is: 2,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.84 : 3,900.74 = 1,766.70 : x
  2. Step 2: Convert to fraction form
    2,601.84/3,900.74 = 1,766.70/x
  3. Step 3: Cross multiply
    2,601.84x = 3,900.74 × 1,766.70
  4. Step 4: Simplify right side
    2,601.84x = 6,891,438.28
  5. Step 5: Solve for x
    x = 6,891,438.28/2,601.84
  6. Step 6: Final answer
    x = 2,648.68

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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.