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Finding the Fourth Proportional to 2,550.42, 3,825.12 and 701.06

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Solution

The fourth proportional to 2,550.42, 3,825.12 and 701.06 is: 1,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.42 : 3,825.12 = 701.06 : x
  2. Step 2: Convert to fraction form
    2,550.42/3,825.12 = 701.06/x
  3. Step 3: Cross multiply
    2,550.42x = 3,825.12 × 701.06
  4. Step 4: Simplify right side
    2,550.42x = 2,681,622.13
  5. Step 5: Solve for x
    x = 2,681,622.13/2,550.42
  6. Step 6: Final answer
    x = 1,051.44

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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.