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Finding the Fourth Proportional to 12,636.83, 18,917.80 and 9,364.61

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Solution

The fourth proportional to 12,636.83, 18,917.80 and 9,364.61 is: 14,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.83 : 18,917.80 = 9,364.61 : x
  2. Step 2: Convert to fraction form
    12,636.83/18,917.80 = 9,364.61/x
  3. Step 3: Cross multiply
    12,636.83x = 18,917.80 × 9,364.61
  4. Step 4: Simplify right side
    12,636.83x = 177,157,701.06
  5. Step 5: Solve for x
    x = 177,157,701.06/12,636.83
  6. Step 6: Final answer
    x = 14,019.16

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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.