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Finding the Fourth Proportional to 2,052.56, 3,078.38 and 666.02

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Solution

The fourth proportional to 2,052.56, 3,078.38 and 666.02 is: 998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.56 : 3,078.38 = 666.02 : x
  2. Step 2: Convert to fraction form
    2,052.56/3,078.38 = 666.02/x
  3. Step 3: Cross multiply
    2,052.56x = 3,078.38 × 666.02
  4. Step 4: Simplify right side
    2,052.56x = 2,050,243.93
  5. Step 5: Solve for x
    x = 2,050,243.93/2,052.56
  6. Step 6: Final answer
    x = 998.87

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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.