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Finding the Fourth Proportional to 8,469.54, 12,618.45 and 8,051.31

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Solution

The fourth proportional to 8,469.54, 12,618.45 and 8,051.31 is: 11,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.54 : 12,618.45 = 8,051.31 : x
  2. Step 2: Convert to fraction form
    8,469.54/12,618.45 = 8,051.31/x
  3. Step 3: Cross multiply
    8,469.54x = 12,618.45 × 8,051.31
  4. Step 4: Simplify right side
    8,469.54x = 101,595,052.67
  5. Step 5: Solve for x
    x = 101,595,052.67/8,469.54
  6. Step 6: Final answer
    x = 11,995.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.