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Finding the Fourth Proportional to 7,779, 11,673.36 and 3,162

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Solution

The fourth proportional to 7,779, 11,673.36 and 3,162 is: 4,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779 : 11,673.36 = 3,162 : x
  2. Step 2: Convert to fraction form
    7,779/11,673.36 = 3,162/x
  3. Step 3: Cross multiply
    7,779x = 11,673.36 × 3,162
  4. Step 4: Simplify right side
    7,779x = 36,911,164.32
  5. Step 5: Solve for x
    x = 36,911,164.32/7,779
  6. Step 6: Final answer
    x = 4,744.98

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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.