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Finding the Fourth Proportional to 2,052.09, 3,078.68 and 955.89

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Solution

The fourth proportional to 2,052.09, 3,078.68 and 955.89 is: 1,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.09 : 3,078.68 = 955.89 : x
  2. Step 2: Convert to fraction form
    2,052.09/3,078.68 = 955.89/x
  3. Step 3: Cross multiply
    2,052.09x = 3,078.68 × 955.89
  4. Step 4: Simplify right side
    2,052.09x = 2,942,874.65
  5. Step 5: Solve for x
    x = 2,942,874.65/2,052.09
  6. Step 6: Final answer
    x = 1,434.09

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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.