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Finding the Fourth Proportional to 2,138.74, 3,209.46 and 840.22

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Solution

The fourth proportional to 2,138.74, 3,209.46 and 840.22 is: 1,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.74 : 3,209.46 = 840.22 : x
  2. Step 2: Convert to fraction form
    2,138.74/3,209.46 = 840.22/x
  3. Step 3: Cross multiply
    2,138.74x = 3,209.46 × 840.22
  4. Step 4: Simplify right side
    2,138.74x = 2,696,652.48
  5. Step 5: Solve for x
    x = 2,696,652.48/2,138.74
  6. Step 6: Final answer
    x = 1,260.86

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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.