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Finding the Fourth Proportional to 2,841.80, 4,258.70 and 2,257.80

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Solution

The fourth proportional to 2,841.80, 4,258.70 and 2,257.80 is: 3,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.80 : 4,258.70 = 2,257.80 : x
  2. Step 2: Convert to fraction form
    2,841.80/4,258.70 = 2,257.80/x
  3. Step 3: Cross multiply
    2,841.80x = 4,258.70 × 2,257.80
  4. Step 4: Simplify right side
    2,841.80x = 9,615,292.86
  5. Step 5: Solve for x
    x = 9,615,292.86/2,841.80
  6. Step 6: Final answer
    x = 3,383.52

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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.