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Finding the Fourth Proportional to 5,388.64, 8,083.72 and 1,691.16

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Solution

The fourth proportional to 5,388.64, 8,083.72 and 1,691.16 is: 2,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.64 : 8,083.72 = 1,691.16 : x
  2. Step 2: Convert to fraction form
    5,388.64/8,083.72 = 1,691.16/x
  3. Step 3: Cross multiply
    5,388.64x = 8,083.72 × 1,691.16
  4. Step 4: Simplify right side
    5,388.64x = 13,670,832.61
  5. Step 5: Solve for x
    x = 13,670,832.61/5,388.64
  6. Step 6: Final answer
    x = 2,536.97

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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.