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Finding the Fourth Proportional to 8,042.50, 11,098.27 and 4,408.37

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Solution

The fourth proportional to 8,042.50, 11,098.27 and 4,408.37 is: 6,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.50 : 11,098.27 = 4,408.37 : x
  2. Step 2: Convert to fraction form
    8,042.50/11,098.27 = 4,408.37/x
  3. Step 3: Cross multiply
    8,042.50x = 11,098.27 × 4,408.37
  4. Step 4: Simplify right side
    8,042.50x = 48,925,214.01
  5. Step 5: Solve for x
    x = 48,925,214.01/8,042.50
  6. Step 6: Final answer
    x = 6,083.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.