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Finding the Fourth Proportional to 3,738.34, 5,607.21 and 965.11

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Solution

The fourth proportional to 3,738.34, 5,607.21 and 965.11 is: 1,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.34 : 5,607.21 = 965.11 : x
  2. Step 2: Convert to fraction form
    3,738.34/5,607.21 = 965.11/x
  3. Step 3: Cross multiply
    3,738.34x = 5,607.21 × 965.11
  4. Step 4: Simplify right side
    3,738.34x = 5,411,574.44
  5. Step 5: Solve for x
    x = 5,411,574.44/3,738.34
  6. Step 6: Final answer
    x = 1,447.59

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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.