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Finding the Fourth Proportional to 2,311.28, 3,467.04 and 772.16

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Solution

The fourth proportional to 2,311.28, 3,467.04 and 772.16 is: 1,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.28 : 3,467.04 = 772.16 : x
  2. Step 2: Convert to fraction form
    2,311.28/3,467.04 = 772.16/x
  3. Step 3: Cross multiply
    2,311.28x = 3,467.04 × 772.16
  4. Step 4: Simplify right side
    2,311.28x = 2,677,109.61
  5. Step 5: Solve for x
    x = 2,677,109.61/2,311.28
  6. Step 6: Final answer
    x = 1,158.28

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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.