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Finding the Fourth Proportional to 3,774.81, 5,662.20 and 1,142.31

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Solution

The fourth proportional to 3,774.81, 5,662.20 and 1,142.31 is: 1,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.81 : 5,662.20 = 1,142.31 : x
  2. Step 2: Convert to fraction form
    3,774.81/5,662.20 = 1,142.31/x
  3. Step 3: Cross multiply
    3,774.81x = 5,662.20 × 1,142.31
  4. Step 4: Simplify right side
    3,774.81x = 6,467,987.68
  5. Step 5: Solve for x
    x = 6,467,987.68/3,774.81
  6. Step 6: Final answer
    x = 1,713.46

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1.5x scale

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.