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Finding the Fourth Proportional to 4,500, 6,213.80 and 2,824.22

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Solution

The fourth proportional to 4,500, 6,213.80 and 2,824.22 is: 3,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500 : 6,213.80 = 2,824.22 : x
  2. Step 2: Convert to fraction form
    4,500/6,213.80 = 2,824.22/x
  3. Step 3: Cross multiply
    4,500x = 6,213.80 × 2,824.22
  4. Step 4: Simplify right side
    4,500x = 17,549,160.83
  5. Step 5: Solve for x
    x = 17,549,160.83/4,500
  6. Step 6: Final answer
    x = 3,899.81

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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.