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Finding the Fourth Proportional to 2,321.39, 3,481.43 and 840.39

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Solution

The fourth proportional to 2,321.39, 3,481.43 and 840.39 is: 1,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.39 : 3,481.43 = 840.39 : x
  2. Step 2: Convert to fraction form
    2,321.39/3,481.43 = 840.39/x
  3. Step 3: Cross multiply
    2,321.39x = 3,481.43 × 840.39
  4. Step 4: Simplify right side
    2,321.39x = 2,925,754.76
  5. Step 5: Solve for x
    x = 2,925,754.76/2,321.39
  6. Step 6: Final answer
    x = 1,260.35

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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.