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Finding the Fourth Proportional to 2,380.64, 3,571.44 and 842.72

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Solution

The fourth proportional to 2,380.64, 3,571.44 and 842.72 is: 1,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.64 : 3,571.44 = 842.72 : x
  2. Step 2: Convert to fraction form
    2,380.64/3,571.44 = 842.72/x
  3. Step 3: Cross multiply
    2,380.64x = 3,571.44 × 842.72
  4. Step 4: Simplify right side
    2,380.64x = 3,009,723.92
  5. Step 5: Solve for x
    x = 3,009,723.92/2,380.64
  6. Step 6: Final answer
    x = 1,264.25

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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.