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Finding the Fourth Proportional to 2,209.35, 3,314.03 and 910.52

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Solution

The fourth proportional to 2,209.35, 3,314.03 and 910.52 is: 1,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.35 : 3,314.03 = 910.52 : x
  2. Step 2: Convert to fraction form
    2,209.35/3,314.03 = 910.52/x
  3. Step 3: Cross multiply
    2,209.35x = 3,314.03 × 910.52
  4. Step 4: Simplify right side
    2,209.35x = 3,017,490.60
  5. Step 5: Solve for x
    x = 3,017,490.60/2,209.35
  6. Step 6: Final answer
    x = 1,365.78

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Similar ratio
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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.