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Finding the Fourth Proportional to 5,423.70, 8,140.41 and 3,965.70

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Solution

The fourth proportional to 5,423.70, 8,140.41 and 3,965.70 is: 5,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.70 : 8,140.41 = 3,965.70 : x
  2. Step 2: Convert to fraction form
    5,423.70/8,140.41 = 3,965.70/x
  3. Step 3: Cross multiply
    5,423.70x = 8,140.41 × 3,965.70
  4. Step 4: Simplify right side
    5,423.70x = 32,282,423.94
  5. Step 5: Solve for x
    x = 32,282,423.94/5,423.70
  6. Step 6: Final answer
    x = 5,952.10

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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.