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Finding the Fourth Proportional to 12,577.58, 18,869.10 and 3,813.16

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Solution

The fourth proportional to 12,577.58, 18,869.10 and 3,813.16 is: 5,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.58 : 18,869.10 = 3,813.16 : x
  2. Step 2: Convert to fraction form
    12,577.58/18,869.10 = 3,813.16/x
  3. Step 3: Cross multiply
    12,577.58x = 18,869.10 × 3,813.16
  4. Step 4: Simplify right side
    12,577.58x = 71,950,850.18
  5. Step 5: Solve for x
    x = 71,950,850.18/12,577.58
  6. Step 6: Final answer
    x = 5,720.56

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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.