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Finding the Fourth Proportional to 12,607.11, 18,913.41 and 3,841.80

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Solution

The fourth proportional to 12,607.11, 18,913.41 and 3,841.80 is: 5,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.11 : 18,913.41 = 3,841.80 : x
  2. Step 2: Convert to fraction form
    12,607.11/18,913.41 = 3,841.80/x
  3. Step 3: Cross multiply
    12,607.11x = 18,913.41 × 3,841.80
  4. Step 4: Simplify right side
    12,607.11x = 72,661,467.61
  5. Step 5: Solve for x
    x = 72,661,467.61/12,607.11
  6. Step 6: Final answer
    x = 5,763.53

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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.