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Finding the Fourth Proportional to 3,764.42, 5,643.90 and 1,424.24

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Solution

The fourth proportional to 3,764.42, 5,643.90 and 1,424.24 is: 2,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.42 : 5,643.90 = 1,424.24 : x
  2. Step 2: Convert to fraction form
    3,764.42/5,643.90 = 1,424.24/x
  3. Step 3: Cross multiply
    3,764.42x = 5,643.90 × 1,424.24
  4. Step 4: Simplify right side
    3,764.42x = 8,038,268.14
  5. Step 5: Solve for x
    x = 8,038,268.14/3,764.42
  6. Step 6: Final answer
    x = 2,135.33

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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.