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Finding the Fourth Proportional to 3,740.97, 5,610.91 and 1,143.21

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Solution

The fourth proportional to 3,740.97, 5,610.91 and 1,143.21 is: 1,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.97 : 5,610.91 = 1,143.21 : x
  2. Step 2: Convert to fraction form
    3,740.97/5,610.91 = 1,143.21/x
  3. Step 3: Cross multiply
    3,740.97x = 5,610.91 × 1,143.21
  4. Step 4: Simplify right side
    3,740.97x = 6,414,417.51
  5. Step 5: Solve for x
    x = 6,414,417.51/3,740.97
  6. Step 6: Final answer
    x = 1,714.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.