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Finding the Fourth Proportional to 2,805.72, 3,872.04 and 1,627.20

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Solution

The fourth proportional to 2,805.72, 3,872.04 and 1,627.20 is: 2,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.72 : 3,872.04 = 1,627.20 : x
  2. Step 2: Convert to fraction form
    2,805.72/3,872.04 = 1,627.20/x
  3. Step 3: Cross multiply
    2,805.72x = 3,872.04 × 1,627.20
  4. Step 4: Simplify right side
    2,805.72x = 6,300,583.49
  5. Step 5: Solve for x
    x = 6,300,583.49/2,805.72
  6. Step 6: Final answer
    x = 2,245.62

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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.