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Finding the Fourth Proportional to 15,167.85, 22,764.53 and 7,779.43

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Solution

The fourth proportional to 15,167.85, 22,764.53 and 7,779.43 is: 11,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,167.85 : 22,764.53 = 7,779.43 : x
  2. Step 2: Convert to fraction form
    15,167.85/22,764.53 = 7,779.43/x
  3. Step 3: Cross multiply
    15,167.85x = 22,764.53 × 7,779.43
  4. Step 4: Simplify right side
    15,167.85x = 177,095,067.62
  5. Step 5: Solve for x
    x = 177,095,067.62/15,167.85
  6. Step 6: Final answer
    x = 11,675.69

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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.