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Finding the Fourth Proportional to 7,779.38, 11,658.14 and 3,387.63

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Solution

The fourth proportional to 7,779.38, 11,658.14 and 3,387.63 is: 5,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.38 : 11,658.14 = 3,387.63 : x
  2. Step 2: Convert to fraction form
    7,779.38/11,658.14 = 3,387.63/x
  3. Step 3: Cross multiply
    7,779.38x = 11,658.14 × 3,387.63
  4. Step 4: Simplify right side
    7,779.38x = 39,493,447.87
  5. Step 5: Solve for x
    x = 39,493,447.87/7,779.38
  6. Step 6: Final answer
    x = 5,076.68

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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.