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Finding the Fourth Proportional to 2,203.54, 3,305.31 and 906.10

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Solution

The fourth proportional to 2,203.54, 3,305.31 and 906.10 is: 1,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.54 : 3,305.31 = 906.10 : x
  2. Step 2: Convert to fraction form
    2,203.54/3,305.31 = 906.10/x
  3. Step 3: Cross multiply
    2,203.54x = 3,305.31 × 906.10
  4. Step 4: Simplify right side
    2,203.54x = 2,994,941.39
  5. Step 5: Solve for x
    x = 2,994,941.39/2,203.54
  6. Step 6: Final answer
    x = 1,359.15

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Similar ratio
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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.