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Finding the Fourth Proportional to 1,813.80, 2,721.10 and 581.12

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Solution

The fourth proportional to 1,813.80, 2,721.10 and 581.12 is: 871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.80 : 2,721.10 = 581.12 : x
  2. Step 2: Convert to fraction form
    1,813.80/2,721.10 = 581.12/x
  3. Step 3: Cross multiply
    1,813.80x = 2,721.10 × 581.12
  4. Step 4: Simplify right side
    1,813.80x = 1,581,285.63
  5. Step 5: Solve for x
    x = 1,581,285.63/1,813.80
  6. Step 6: Final answer
    x = 871.81

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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.