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Finding the Fourth Proportional to 2,202.42, 3,039.42 and 1,258.35

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Solution

The fourth proportional to 2,202.42, 3,039.42 and 1,258.35 is: 1,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.42 : 3,039.42 = 1,258.35 : x
  2. Step 2: Convert to fraction form
    2,202.42/3,039.42 = 1,258.35/x
  3. Step 3: Cross multiply
    2,202.42x = 3,039.42 × 1,258.35
  4. Step 4: Simplify right side
    2,202.42x = 3,824,654.16
  5. Step 5: Solve for x
    x = 3,824,654.16/2,202.42
  6. Step 6: Final answer
    x = 1,736.57

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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.