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Finding the Fourth Proportional to 5,420.40, 8,111.70 and 3,230.70

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Solution

The fourth proportional to 5,420.40, 8,111.70 and 3,230.70 is: 4,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.40 : 8,111.70 = 3,230.70 : x
  2. Step 2: Convert to fraction form
    5,420.40/8,111.70 = 3,230.70/x
  3. Step 3: Cross multiply
    5,420.40x = 8,111.70 × 3,230.70
  4. Step 4: Simplify right side
    5,420.40x = 26,206,469.19
  5. Step 5: Solve for x
    x = 26,206,469.19/5,420.40
  6. Step 6: Final answer
    x = 4,834.79

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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.