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Finding the Fourth Proportional to 7,779, 11,662.74 and 4,081.08

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Solution

The fourth proportional to 7,779, 11,662.74 and 4,081.08 is: 6,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779 : 11,662.74 = 4,081.08 : x
  2. Step 2: Convert to fraction form
    7,779/11,662.74 = 4,081.08/x
  3. Step 3: Cross multiply
    7,779x = 11,662.74 × 4,081.08
  4. Step 4: Simplify right side
    7,779x = 47,596,574.96
  5. Step 5: Solve for x
    x = 47,596,574.96/7,779
  6. Step 6: Final answer
    x = 6,118.60

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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.