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Finding the Fourth Proportional to 2,788.49, 3,852.12 and 2,228.22

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Solution

The fourth proportional to 2,788.49, 3,852.12 and 2,228.22 is: 3,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.49 : 3,852.12 = 2,228.22 : x
  2. Step 2: Convert to fraction form
    2,788.49/3,852.12 = 2,228.22/x
  3. Step 3: Cross multiply
    2,788.49x = 3,852.12 × 2,228.22
  4. Step 4: Simplify right side
    2,788.49x = 8,583,370.83
  5. Step 5: Solve for x
    x = 8,583,370.83/2,788.49
  6. Step 6: Final answer
    x = 3,078.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.