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Finding the Fourth Proportional to 7,779.60, 11,658.42 and 3,387.78

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Solution

The fourth proportional to 7,779.60, 11,658.42 and 3,387.78 is: 5,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.60 : 11,658.42 = 3,387.78 : x
  2. Step 2: Convert to fraction form
    7,779.60/11,658.42 = 3,387.78/x
  3. Step 3: Cross multiply
    7,779.60x = 11,658.42 × 3,387.78
  4. Step 4: Simplify right side
    7,779.60x = 39,496,162.11
  5. Step 5: Solve for x
    x = 39,496,162.11/7,779.60
  6. Step 6: Final answer
    x = 5,076.89

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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.