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Finding the Fourth Proportional to 7,779.82, 11,662.14 and 3,098.42

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Solution

The fourth proportional to 7,779.82, 11,662.14 and 3,098.42 is: 4,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.82 : 11,662.14 = 3,098.42 : x
  2. Step 2: Convert to fraction form
    7,779.82/11,662.14 = 3,098.42/x
  3. Step 3: Cross multiply
    7,779.82x = 11,662.14 × 3,098.42
  4. Step 4: Simplify right side
    7,779.82x = 36,134,207.82
  5. Step 5: Solve for x
    x = 36,134,207.82/7,779.82
  6. Step 6: Final answer
    x = 4,644.61

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1.5x scale

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.