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Finding the Fourth Proportional to 2,203, 3,292.31 and 1,768.12

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Solution

The fourth proportional to 2,203, 3,292.31 and 1,768.12 is: 2,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203 : 3,292.31 = 1,768.12 : x
  2. Step 2: Convert to fraction form
    2,203/3,292.31 = 1,768.12/x
  3. Step 3: Cross multiply
    2,203x = 3,292.31 × 1,768.12
  4. Step 4: Simplify right side
    2,203x = 5,821,199.16
  5. Step 5: Solve for x
    x = 5,821,199.16/2,203
  6. Step 6: Final answer
    x = 2,642.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.