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Finding the Fourth Proportional to 7,763.09, 11,644.74 and 3,380.38

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Solution

The fourth proportional to 7,763.09, 11,644.74 and 3,380.38 is: 5,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.09 : 11,644.74 = 3,380.38 : x
  2. Step 2: Convert to fraction form
    7,763.09/11,644.74 = 3,380.38/x
  3. Step 3: Cross multiply
    7,763.09x = 11,644.74 × 3,380.38
  4. Step 4: Simplify right side
    7,763.09x = 39,363,666.86
  5. Step 5: Solve for x
    x = 39,363,666.86/7,763.09
  6. Step 6: Final answer
    x = 5,070.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.