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Finding the Fourth Proportional to 3,562.21, 5,343.31 and 965.14

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Solution

The fourth proportional to 3,562.21, 5,343.31 and 965.14 is: 1,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.21 : 5,343.31 = 965.14 : x
  2. Step 2: Convert to fraction form
    3,562.21/5,343.31 = 965.14/x
  3. Step 3: Cross multiply
    3,562.21x = 5,343.31 × 965.14
  4. Step 4: Simplify right side
    3,562.21x = 5,157,066.95
  5. Step 5: Solve for x
    x = 5,157,066.95/3,562.21
  6. Step 6: Final answer
    x = 1,447.72

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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.