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Finding the Fourth Proportional to 2,991.64, 4,128.14 and 1,665.14

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Solution

The fourth proportional to 2,991.64, 4,128.14 and 1,665.14 is: 2,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.64 : 4,128.14 = 1,665.14 : x
  2. Step 2: Convert to fraction form
    2,991.64/4,128.14 = 1,665.14/x
  3. Step 3: Cross multiply
    2,991.64x = 4,128.14 × 1,665.14
  4. Step 4: Simplify right side
    2,991.64x = 6,873,931.04
  5. Step 5: Solve for x
    x = 6,873,931.04/2,991.64
  6. Step 6: Final answer
    x = 2,297.71

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Why These Related Problems?

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