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Finding the Fourth Proportional to 12,579.86, 18,872.07 and 5,180.29

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Solution

The fourth proportional to 12,579.86, 18,872.07 and 5,180.29 is: 7,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,579.86 : 18,872.07 = 5,180.29 : x
  2. Step 2: Convert to fraction form
    12,579.86/18,872.07 = 5,180.29/x
  3. Step 3: Cross multiply
    12,579.86x = 18,872.07 × 5,180.29
  4. Step 4: Simplify right side
    12,579.86x = 97,762,701.14
  5. Step 5: Solve for x
    x = 97,762,701.14/12,579.86
  6. Step 6: Final answer
    x = 7,771.37

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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.