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Finding the Fourth Proportional to 2,052.32, 3,078.66 and 665.68

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Solution

The fourth proportional to 2,052.32, 3,078.66 and 665.68 is: 998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.32 : 3,078.66 = 665.68 : x
  2. Step 2: Convert to fraction form
    2,052.32/3,078.66 = 665.68/x
  3. Step 3: Cross multiply
    2,052.32x = 3,078.66 × 665.68
  4. Step 4: Simplify right side
    2,052.32x = 2,049,402.39
  5. Step 5: Solve for x
    x = 2,049,402.39/2,052.32
  6. Step 6: Final answer
    x = 998.58

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1.5x scale

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.