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Finding the Fourth Proportional to 5,679.72, 8,520.78 and 1,784.44

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Solution

The fourth proportional to 5,679.72, 8,520.78 and 1,784.44 is: 2,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.72 : 8,520.78 = 1,784.44 : x
  2. Step 2: Convert to fraction form
    5,679.72/8,520.78 = 1,784.44/x
  3. Step 3: Cross multiply
    5,679.72x = 8,520.78 × 1,784.44
  4. Step 4: Simplify right side
    5,679.72x = 15,204,820.66
  5. Step 5: Solve for x
    x = 15,204,820.66/5,679.72
  6. Step 6: Final answer
    x = 2,677.04

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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.