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Finding the Fourth Proportional to 7,857.76, 11,788.44 and 2,663.60

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Solution

The fourth proportional to 7,857.76, 11,788.44 and 2,663.60 is: 3,996.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.76 : 11,788.44 = 2,663.60 : x
  2. Step 2: Convert to fraction form
    7,857.76/11,788.44 = 2,663.60/x
  3. Step 3: Cross multiply
    7,857.76x = 11,788.44 × 2,663.60
  4. Step 4: Simplify right side
    7,857.76x = 31,399,688.78
  5. Step 5: Solve for x
    x = 31,399,688.78/7,857.76
  6. Step 6: Final answer
    x = 3,996.01

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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.