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Finding the Fourth Proportional to 2,203.08, 3,304.71 and 903.63

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Solution

The fourth proportional to 2,203.08, 3,304.71 and 903.63 is: 1,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.08 : 3,304.71 = 903.63 : x
  2. Step 2: Convert to fraction form
    2,203.08/3,304.71 = 903.63/x
  3. Step 3: Cross multiply
    2,203.08x = 3,304.71 × 903.63
  4. Step 4: Simplify right side
    2,203.08x = 2,986,235.10
  5. Step 5: Solve for x
    x = 2,986,235.10/2,203.08
  6. Step 6: Final answer
    x = 1,355.48

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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.