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Finding the Fourth Proportional to 3,169.84, 4,755.12 and 1,438.24

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Solution

The fourth proportional to 3,169.84, 4,755.12 and 1,438.24 is: 2,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.84 : 4,755.12 = 1,438.24 : x
  2. Step 2: Convert to fraction form
    3,169.84/4,755.12 = 1,438.24/x
  3. Step 3: Cross multiply
    3,169.84x = 4,755.12 × 1,438.24
  4. Step 4: Simplify right side
    3,169.84x = 6,839,003.79
  5. Step 5: Solve for x
    x = 6,839,003.79/3,169.84
  6. Step 6: Final answer
    x = 2,157.52

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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.