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Finding the Fourth Proportional to 8,469.10, 11,687.79 and 5,111.87

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Solution

The fourth proportional to 8,469.10, 11,687.79 and 5,111.87 is: 7,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.10 : 11,687.79 = 5,111.87 : x
  2. Step 2: Convert to fraction form
    8,469.10/11,687.79 = 5,111.87/x
  3. Step 3: Cross multiply
    8,469.10x = 11,687.79 × 5,111.87
  4. Step 4: Simplify right side
    8,469.10x = 59,746,379.07
  5. Step 5: Solve for x
    x = 59,746,379.07/8,469.10
  6. Step 6: Final answer
    x = 7,054.64

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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.