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Finding the Fourth Proportional to 3,892.31, 5,842.11 and 1,813.74

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Solution

The fourth proportional to 3,892.31, 5,842.11 and 1,813.74 is: 2,722.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.31 : 5,842.11 = 1,813.74 : x
  2. Step 2: Convert to fraction form
    3,892.31/5,842.11 = 1,813.74/x
  3. Step 3: Cross multiply
    3,892.31x = 5,842.11 × 1,813.74
  4. Step 4: Simplify right side
    3,892.31x = 10,596,068.59
  5. Step 5: Solve for x
    x = 10,596,068.59/3,892.31
  6. Step 6: Final answer
    x = 2,722.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.