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Finding the Fourth Proportional to 2,258.93, 3,388.67 and 872.21

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Solution

The fourth proportional to 2,258.93, 3,388.67 and 872.21 is: 1,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.93 : 3,388.67 = 872.21 : x
  2. Step 2: Convert to fraction form
    2,258.93/3,388.67 = 872.21/x
  3. Step 3: Cross multiply
    2,258.93x = 3,388.67 × 872.21
  4. Step 4: Simplify right side
    2,258.93x = 2,955,627.50
  5. Step 5: Solve for x
    x = 2,955,627.50/2,258.93
  6. Step 6: Final answer
    x = 1,308.42

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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.