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Finding the Fourth Proportional to 2,173.54, 3,260.31 and 634.54

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Solution

The fourth proportional to 2,173.54, 3,260.31 and 634.54 is: 951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.54 : 3,260.31 = 634.54 : x
  2. Step 2: Convert to fraction form
    2,173.54/3,260.31 = 634.54/x
  3. Step 3: Cross multiply
    2,173.54x = 3,260.31 × 634.54
  4. Step 4: Simplify right side
    2,173.54x = 2,068,797.11
  5. Step 5: Solve for x
    x = 2,068,797.11/2,173.54
  6. Step 6: Final answer
    x = 951.81

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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.