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Finding the Fourth Proportional to 2,007.30, 3,011.46 and 837.09

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Solution

The fourth proportional to 2,007.30, 3,011.46 and 837.09 is: 1,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.30 : 3,011.46 = 837.09 : x
  2. Step 2: Convert to fraction form
    2,007.30/3,011.46 = 837.09/x
  3. Step 3: Cross multiply
    2,007.30x = 3,011.46 × 837.09
  4. Step 4: Simplify right side
    2,007.30x = 2,520,863.05
  5. Step 5: Solve for x
    x = 2,520,863.05/2,007.30
  6. Step 6: Final answer
    x = 1,255.85

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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.