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Finding the Fourth Proportional to 3,640.50, 5,024.48 and 2,069.55

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Solution

The fourth proportional to 3,640.50, 5,024.48 and 2,069.55 is: 2,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.50 : 5,024.48 = 2,069.55 : x
  2. Step 2: Convert to fraction form
    3,640.50/5,024.48 = 2,069.55/x
  3. Step 3: Cross multiply
    3,640.50x = 5,024.48 × 2,069.55
  4. Step 4: Simplify right side
    3,640.50x = 10,398,402.24
  5. Step 5: Solve for x
    x = 10,398,402.24/3,640.50
  6. Step 6: Final answer
    x = 2,856.31

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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.