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Finding the Fourth Proportional to 3,892.86, 5,841.34 and 1,813.84

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Solution

The fourth proportional to 3,892.86, 5,841.34 and 1,813.84 is: 2,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.86 : 5,841.34 = 1,813.84 : x
  2. Step 2: Convert to fraction form
    3,892.86/5,841.34 = 1,813.84/x
  3. Step 3: Cross multiply
    3,892.86x = 5,841.34 × 1,813.84
  4. Step 4: Simplify right side
    3,892.86x = 10,595,274.97
  5. Step 5: Solve for x
    x = 10,595,274.97/3,892.86
  6. Step 6: Final answer
    x = 2,721.72

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1.5x scale

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.