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Finding the Fourth Proportional to 2,052, 3,078.30 and 664.87

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Solution

The fourth proportional to 2,052, 3,078.30 and 664.87 is: 997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052 : 3,078.30 = 664.87 : x
  2. Step 2: Convert to fraction form
    2,052/3,078.30 = 664.87/x
  3. Step 3: Cross multiply
    2,052x = 3,078.30 × 664.87
  4. Step 4: Simplify right side
    2,052x = 2,046,669.32
  5. Step 5: Solve for x
    x = 2,046,669.32/2,052
  6. Step 6: Final answer
    x = 997.40

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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.