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Finding the Fourth Proportional to 3,230.40, 4,847.40 and 1,381.20

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Solution

The fourth proportional to 3,230.40, 4,847.40 and 1,381.20 is: 2,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.40 : 4,847.40 = 1,381.20 : x
  2. Step 2: Convert to fraction form
    3,230.40/4,847.40 = 1,381.20/x
  3. Step 3: Cross multiply
    3,230.40x = 4,847.40 × 1,381.20
  4. Step 4: Simplify right side
    3,230.40x = 6,695,228.88
  5. Step 5: Solve for x
    x = 6,695,228.88/3,230.40
  6. Step 6: Final answer
    x = 2,072.57

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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.