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Finding the Fourth Proportional to 1,805.34, 2,703.80 and 1,391.20

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Solution

The fourth proportional to 1,805.34, 2,703.80 and 1,391.20 is: 2,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.34 : 2,703.80 = 1,391.20 : x
  2. Step 2: Convert to fraction form
    1,805.34/2,703.80 = 1,391.20/x
  3. Step 3: Cross multiply
    1,805.34x = 2,703.80 × 1,391.20
  4. Step 4: Simplify right side
    1,805.34x = 3,761,526.56
  5. Step 5: Solve for x
    x = 3,761,526.56/1,805.34
  6. Step 6: Final answer
    x = 2,083.56

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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.