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Finding the Fourth Proportional to 3,694, 5,537.34 and 1,742.74

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Solution

The fourth proportional to 3,694, 5,537.34 and 1,742.74 is: 2,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694 : 5,537.34 = 1,742.74 : x
  2. Step 2: Convert to fraction form
    3,694/5,537.34 = 1,742.74/x
  3. Step 3: Cross multiply
    3,694x = 5,537.34 × 1,742.74
  4. Step 4: Simplify right side
    3,694x = 9,650,143.91
  5. Step 5: Solve for x
    x = 9,650,143.91/3,694
  6. Step 6: Final answer
    x = 2,612.38

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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.