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Finding the Fourth Proportional to 3,792.56, 5,238.78 and 2,919.32

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Solution

The fourth proportional to 3,792.56, 5,238.78 and 2,919.32 is: 4,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.56 : 5,238.78 = 2,919.32 : x
  2. Step 2: Convert to fraction form
    3,792.56/5,238.78 = 2,919.32/x
  3. Step 3: Cross multiply
    3,792.56x = 5,238.78 × 2,919.32
  4. Step 4: Simplify right side
    3,792.56x = 15,293,675.23
  5. Step 5: Solve for x
    x = 15,293,675.23/3,792.56
  6. Step 6: Final answer
    x = 4,032.55

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1.5x scale

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.