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Finding the Fourth Proportional to 5,406.72, 8,104.50 and 1,893.66

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Solution

The fourth proportional to 5,406.72, 8,104.50 and 1,893.66 is: 2,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.72 : 8,104.50 = 1,893.66 : x
  2. Step 2: Convert to fraction form
    5,406.72/8,104.50 = 1,893.66/x
  3. Step 3: Cross multiply
    5,406.72x = 8,104.50 × 1,893.66
  4. Step 4: Simplify right side
    5,406.72x = 15,347,167.47
  5. Step 5: Solve for x
    x = 15,347,167.47/5,406.72
  6. Step 6: Final answer
    x = 2,838.54

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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.