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Finding the Fourth Proportional to 3,705, 5,560.23 and 1,757.21

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Solution

The fourth proportional to 3,705, 5,560.23 and 1,757.21 is: 2,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705 : 5,560.23 = 1,757.21 : x
  2. Step 2: Convert to fraction form
    3,705/5,560.23 = 1,757.21/x
  3. Step 3: Cross multiply
    3,705x = 5,560.23 × 1,757.21
  4. Step 4: Simplify right side
    3,705x = 9,770,491.76
  5. Step 5: Solve for x
    x = 9,770,491.76/3,705
  6. Step 6: Final answer
    x = 2,637.11

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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.