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Finding the Fourth Proportional to 7,773.76, 11,665.90 and 3,388.68

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Solution

The fourth proportional to 7,773.76, 11,665.90 and 3,388.68 is: 5,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.76 : 11,665.90 = 3,388.68 : x
  2. Step 2: Convert to fraction form
    7,773.76/11,665.90 = 3,388.68/x
  3. Step 3: Cross multiply
    7,773.76x = 11,665.90 × 3,388.68
  4. Step 4: Simplify right side
    7,773.76x = 39,532,002.01
  5. Step 5: Solve for x
    x = 39,532,002.01/7,773.76
  6. Step 6: Final answer
    x = 5,085.31

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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.