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Finding the Fourth Proportional to 12,486, 18,722.72 and 4,163.16

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Solution

The fourth proportional to 12,486, 18,722.72 and 4,163.16 is: 6,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486 : 18,722.72 = 4,163.16 : x
  2. Step 2: Convert to fraction form
    12,486/18,722.72 = 4,163.16/x
  3. Step 3: Cross multiply
    12,486x = 18,722.72 × 4,163.16
  4. Step 4: Simplify right side
    12,486x = 77,945,679.00
  5. Step 5: Solve for x
    x = 77,945,679.00/12,486
  6. Step 6: Final answer
    x = 6,242.65

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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.