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Finding the Fourth Proportional to 2,821, 3,892.94 and 1,562.06

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Solution

The fourth proportional to 2,821, 3,892.94 and 1,562.06 is: 2,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821 : 3,892.94 = 1,562.06 : x
  2. Step 2: Convert to fraction form
    2,821/3,892.94 = 1,562.06/x
  3. Step 3: Cross multiply
    2,821x = 3,892.94 × 1,562.06
  4. Step 4: Simplify right side
    2,821x = 6,081,005.86
  5. Step 5: Solve for x
    x = 6,081,005.86/2,821
  6. Step 6: Final answer
    x = 2,155.62

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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.