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Finding the Fourth Proportional to 2,369.42, 3,550.98 and 1,258.60

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Solution

The fourth proportional to 2,369.42, 3,550.98 and 1,258.60 is: 1,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.42 : 3,550.98 = 1,258.60 : x
  2. Step 2: Convert to fraction form
    2,369.42/3,550.98 = 1,258.60/x
  3. Step 3: Cross multiply
    2,369.42x = 3,550.98 × 1,258.60
  4. Step 4: Simplify right side
    2,369.42x = 4,469,263.43
  5. Step 5: Solve for x
    x = 4,469,263.43/2,369.42
  6. Step 6: Final answer
    x = 1,886.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.