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Finding the Fourth Proportional to 8,550.78, 12,838.10 and 4,394.31

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Solution

The fourth proportional to 8,550.78, 12,838.10 and 4,394.31 is: 6,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,550.78 : 12,838.10 = 4,394.31 : x
  2. Step 2: Convert to fraction form
    8,550.78/12,838.10 = 4,394.31/x
  3. Step 3: Cross multiply
    8,550.78x = 12,838.10 × 4,394.31
  4. Step 4: Simplify right side
    8,550.78x = 56,414,569.24
  5. Step 5: Solve for x
    x = 56,414,569.24/8,550.78
  6. Step 6: Final answer
    x = 6,597.59

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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.