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Finding the Fourth Proportional to 3,777.67, 5,666.52 and 1,278.88

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Solution

The fourth proportional to 3,777.67, 5,666.52 and 1,278.88 is: 1,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.67 : 5,666.52 = 1,278.88 : x
  2. Step 2: Convert to fraction form
    3,777.67/5,666.52 = 1,278.88/x
  3. Step 3: Cross multiply
    3,777.67x = 5,666.52 × 1,278.88
  4. Step 4: Simplify right side
    3,777.67x = 7,246,786.13
  5. Step 5: Solve for x
    x = 7,246,786.13/3,777.67
  6. Step 6: Final answer
    x = 1,918.32

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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.