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Finding the Fourth Proportional to 3,767.36, 5,643.36 and 1,709.12

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Solution

The fourth proportional to 3,767.36, 5,643.36 and 1,709.12 is: 2,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.36 : 5,643.36 = 1,709.12 : x
  2. Step 2: Convert to fraction form
    3,767.36/5,643.36 = 1,709.12/x
  3. Step 3: Cross multiply
    3,767.36x = 5,643.36 × 1,709.12
  4. Step 4: Simplify right side
    3,767.36x = 9,645,179.44
  5. Step 5: Solve for x
    x = 9,645,179.44/3,767.36
  6. Step 6: Final answer
    x = 2,560.20

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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.