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Finding the Fourth Proportional to 20,779.76, 31,151.14 and 7,629.08

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Solution

The fourth proportional to 20,779.76, 31,151.14 and 7,629.08 is: 11,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779.76 : 31,151.14 = 7,629.08 : x
  2. Step 2: Convert to fraction form
    20,779.76/31,151.14 = 7,629.08/x
  3. Step 3: Cross multiply
    20,779.76x = 31,151.14 × 7,629.08
  4. Step 4: Simplify right side
    20,779.76x = 237,654,539.15
  5. Step 5: Solve for x
    x = 237,654,539.15/20,779.76
  6. Step 6: Final answer
    x = 11,436.83

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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.