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Finding the Fourth Proportional to 3,742.77, 5,614.11 and 969.20

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Solution

The fourth proportional to 3,742.77, 5,614.11 and 969.20 is: 1,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.77 : 5,614.11 = 969.20 : x
  2. Step 2: Convert to fraction form
    3,742.77/5,614.11 = 969.20/x
  3. Step 3: Cross multiply
    3,742.77x = 5,614.11 × 969.20
  4. Step 4: Simplify right side
    3,742.77x = 5,441,167.34
  5. Step 5: Solve for x
    x = 5,441,167.34/3,742.77
  6. Step 6: Final answer
    x = 1,453.78

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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.