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Finding the Fourth Proportional to 2,054.80, 3,078.24 and 1,186.48

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Solution

The fourth proportional to 2,054.80, 3,078.24 and 1,186.48 is: 1,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.80 : 3,078.24 = 1,186.48 : x
  2. Step 2: Convert to fraction form
    2,054.80/3,078.24 = 1,186.48/x
  3. Step 3: Cross multiply
    2,054.80x = 3,078.24 × 1,186.48
  4. Step 4: Simplify right side
    2,054.80x = 3,652,270.20
  5. Step 5: Solve for x
    x = 3,652,270.20/2,054.80
  6. Step 6: Final answer
    x = 1,777.43

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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.