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Finding the Fourth Proportional to 3,813.60, 5,721.60 and 1,866

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Solution

The fourth proportional to 3,813.60, 5,721.60 and 1,866 is: 2,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.60 : 5,721.60 = 1,866 : x
  2. Step 2: Convert to fraction form
    3,813.60/5,721.60 = 1,866/x
  3. Step 3: Cross multiply
    3,813.60x = 5,721.60 × 1,866
  4. Step 4: Simplify right side
    3,813.60x = 10,676,505.60
  5. Step 5: Solve for x
    x = 10,676,505.60/3,813.60
  6. Step 6: Final answer
    x = 2,799.59

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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.