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Finding the Fourth Proportional to 7,779.87, 11,669.96 and 2,233.40

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Solution

The fourth proportional to 7,779.87, 11,669.96 and 2,233.40 is: 3,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.87 : 11,669.96 = 2,233.40 : x
  2. Step 2: Convert to fraction form
    7,779.87/11,669.96 = 2,233.40/x
  3. Step 3: Cross multiply
    7,779.87x = 11,669.96 × 2,233.40
  4. Step 4: Simplify right side
    7,779.87x = 26,063,635.90
  5. Step 5: Solve for x
    x = 26,063,635.90/7,779.87
  6. Step 6: Final answer
    x = 3,350.14

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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.