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Finding the Fourth Proportional to 5,828.72, 8,735.29 and 2,127.47

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Solution

The fourth proportional to 5,828.72, 8,735.29 and 2,127.47 is: 3,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.72 : 8,735.29 = 2,127.47 : x
  2. Step 2: Convert to fraction form
    5,828.72/8,735.29 = 2,127.47/x
  3. Step 3: Cross multiply
    5,828.72x = 8,735.29 × 2,127.47
  4. Step 4: Simplify right side
    5,828.72x = 18,584,067.42
  5. Step 5: Solve for x
    x = 18,584,067.42/5,828.72
  6. Step 6: Final answer
    x = 3,188.36

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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.