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Finding the Fourth Proportional to 2,713.36, 3,742.50 and 1,665.88

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Solution

The fourth proportional to 2,713.36, 3,742.50 and 1,665.88 is: 2,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.36 : 3,742.50 = 1,665.88 : x
  2. Step 2: Convert to fraction form
    2,713.36/3,742.50 = 1,665.88/x
  3. Step 3: Cross multiply
    2,713.36x = 3,742.50 × 1,665.88
  4. Step 4: Simplify right side
    2,713.36x = 6,234,555.90
  5. Step 5: Solve for x
    x = 6,234,555.90/2,713.36
  6. Step 6: Final answer
    x = 2,297.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.