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Finding the Fourth Proportional to 1,766.70, 2,650.97 and 842.09

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Solution

The fourth proportional to 1,766.70, 2,650.97 and 842.09 is: 1,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.70 : 2,650.97 = 842.09 : x
  2. Step 2: Convert to fraction form
    1,766.70/2,650.97 = 842.09/x
  3. Step 3: Cross multiply
    1,766.70x = 2,650.97 × 842.09
  4. Step 4: Simplify right side
    1,766.70x = 2,232,344.18
  5. Step 5: Solve for x
    x = 2,232,344.18/1,766.70
  6. Step 6: Final answer
    x = 1,263.57

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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.