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Finding the Fourth Proportional to 2,744, 3,786.64 and 1,565.16

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Solution

The fourth proportional to 2,744, 3,786.64 and 1,565.16 is: 2,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744 : 3,786.64 = 1,565.16 : x
  2. Step 2: Convert to fraction form
    2,744/3,786.64 = 1,565.16/x
  3. Step 3: Cross multiply
    2,744x = 3,786.64 × 1,565.16
  4. Step 4: Simplify right side
    2,744x = 5,926,697.46
  5. Step 5: Solve for x
    x = 5,926,697.46/2,744
  6. Step 6: Final answer
    x = 2,159.88

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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.