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Finding the Fourth Proportional to 8,686.61, 13,029.80 and 2,112.80

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Solution

The fourth proportional to 8,686.61, 13,029.80 and 2,112.80 is: 3,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.61 : 13,029.80 = 2,112.80 : x
  2. Step 2: Convert to fraction form
    8,686.61/13,029.80 = 2,112.80/x
  3. Step 3: Cross multiply
    8,686.61x = 13,029.80 × 2,112.80
  4. Step 4: Simplify right side
    8,686.61x = 27,529,293.65
  5. Step 5: Solve for x
    x = 27,529,293.65/8,686.61
  6. Step 6: Final answer
    x = 3,169.17

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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.