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Finding the Fourth Proportional to 5,712.88, 8,549.84 and 4,789.48

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Solution

The fourth proportional to 5,712.88, 8,549.84 and 4,789.48 is: 7,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.88 : 8,549.84 = 4,789.48 : x
  2. Step 2: Convert to fraction form
    5,712.88/8,549.84 = 4,789.48/x
  3. Step 3: Cross multiply
    5,712.88x = 8,549.84 × 4,789.48
  4. Step 4: Simplify right side
    5,712.88x = 40,949,287.68
  5. Step 5: Solve for x
    x = 40,949,287.68/5,712.88
  6. Step 6: Final answer
    x = 7,167.89

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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.