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Finding the Fourth Proportional to 7,764.78, 11,646.01 and 2,499.10

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Solution

The fourth proportional to 7,764.78, 11,646.01 and 2,499.10 is: 3,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.78 : 11,646.01 = 2,499.10 : x
  2. Step 2: Convert to fraction form
    7,764.78/11,646.01 = 2,499.10/x
  3. Step 3: Cross multiply
    7,764.78x = 11,646.01 × 2,499.10
  4. Step 4: Simplify right side
    7,764.78x = 29,104,504.14
  5. Step 5: Solve for x
    x = 29,104,504.14/7,764.78
  6. Step 6: Final answer
    x = 3,748.27

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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.