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Finding the Fourth Proportional to 2,320.81, 3,481.44 and 840.41

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Solution

The fourth proportional to 2,320.81, 3,481.44 and 840.41 is: 1,260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.81 : 3,481.44 = 840.41 : x
  2. Step 2: Convert to fraction form
    2,320.81/3,481.44 = 840.41/x
  3. Step 3: Cross multiply
    2,320.81x = 3,481.44 × 840.41
  4. Step 4: Simplify right side
    2,320.81x = 2,925,836.99
  5. Step 5: Solve for x
    x = 2,925,836.99/2,320.81
  6. Step 6: Final answer
    x = 1,260.70

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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.