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Finding the Fourth Proportional to 2,822.62, 3,895.24 and 1,580.62

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Solution

The fourth proportional to 2,822.62, 3,895.24 and 1,580.62 is: 2,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.62 : 3,895.24 = 1,580.62 : x
  2. Step 2: Convert to fraction form
    2,822.62/3,895.24 = 1,580.62/x
  3. Step 3: Cross multiply
    2,822.62x = 3,895.24 × 1,580.62
  4. Step 4: Simplify right side
    2,822.62x = 6,156,894.25
  5. Step 5: Solve for x
    x = 6,156,894.25/2,822.62
  6. Step 6: Final answer
    x = 2,181.27

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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.