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Finding the Fourth Proportional to 2,009.62, 3,015.39 and 711.70

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Solution

The fourth proportional to 2,009.62, 3,015.39 and 711.70 is: 1,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.62 : 3,015.39 = 711.70 : x
  2. Step 2: Convert to fraction form
    2,009.62/3,015.39 = 711.70/x
  3. Step 3: Cross multiply
    2,009.62x = 3,015.39 × 711.70
  4. Step 4: Simplify right side
    2,009.62x = 2,146,053.06
  5. Step 5: Solve for x
    x = 2,146,053.06/2,009.62
  6. Step 6: Final answer
    x = 1,067.89

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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.