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Finding the Fourth Proportional to 3,703.20, 5,110.50 and 2,110.20

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Solution

The fourth proportional to 3,703.20, 5,110.50 and 2,110.20 is: 2,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.20 : 5,110.50 = 2,110.20 : x
  2. Step 2: Convert to fraction form
    3,703.20/5,110.50 = 2,110.20/x
  3. Step 3: Cross multiply
    3,703.20x = 5,110.50 × 2,110.20
  4. Step 4: Simplify right side
    3,703.20x = 10,784,177.10
  5. Step 5: Solve for x
    x = 10,784,177.10/3,703.20
  6. Step 6: Final answer
    x = 2,912.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.