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Finding the Fourth Proportional to 4,213.52, 5,815.52 and 2,640.48

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Solution

The fourth proportional to 4,213.52, 5,815.52 and 2,640.48 is: 3,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.52 : 5,815.52 = 2,640.48 : x
  2. Step 2: Convert to fraction form
    4,213.52/5,815.52 = 2,640.48/x
  3. Step 3: Cross multiply
    4,213.52x = 5,815.52 × 2,640.48
  4. Step 4: Simplify right side
    4,213.52x = 15,355,764.25
  5. Step 5: Solve for x
    x = 15,355,764.25/4,213.52
  6. Step 6: Final answer
    x = 3,644.40

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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.