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Finding the Fourth Proportional to 12,607.86, 18,917.20 and 5,217.70

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Solution

The fourth proportional to 12,607.86, 18,917.20 and 5,217.70 is: 7,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.86 : 18,917.20 = 5,217.70 : x
  2. Step 2: Convert to fraction form
    12,607.86/18,917.20 = 5,217.70/x
  3. Step 3: Cross multiply
    12,607.86x = 18,917.20 × 5,217.70
  4. Step 4: Simplify right side
    12,607.86x = 98,704,274.44
  5. Step 5: Solve for x
    x = 98,704,274.44/12,607.86
  6. Step 6: Final answer
    x = 7,828.79

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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.