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Finding the Fourth Proportional to 4,212.56, 5,809.56 and 2,640.88

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Solution

The fourth proportional to 4,212.56, 5,809.56 and 2,640.88 is: 3,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.56 : 5,809.56 = 2,640.88 : x
  2. Step 2: Convert to fraction form
    4,212.56/5,809.56 = 2,640.88/x
  3. Step 3: Cross multiply
    4,212.56x = 5,809.56 × 2,640.88
  4. Step 4: Simplify right side
    4,212.56x = 15,342,350.81
  5. Step 5: Solve for x
    x = 15,342,350.81/4,212.56
  6. Step 6: Final answer
    x = 3,642.05

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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.