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Finding the Fourth Proportional to 2,077.05, 3,115.58 and 843.65

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Solution

The fourth proportional to 2,077.05, 3,115.58 and 843.65 is: 1,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.05 : 3,115.58 = 843.65 : x
  2. Step 2: Convert to fraction form
    2,077.05/3,115.58 = 843.65/x
  3. Step 3: Cross multiply
    2,077.05x = 3,115.58 × 843.65
  4. Step 4: Simplify right side
    2,077.05x = 2,628,459.07
  5. Step 5: Solve for x
    x = 2,628,459.07/2,077.05
  6. Step 6: Final answer
    x = 1,265.48

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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.