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Finding the Fourth Proportional to 2,039.77, 3,077.89 and 2,039.77

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Solution

The fourth proportional to 2,039.77, 3,077.89 and 2,039.77 is: 3,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.77 : 3,077.89 = 2,039.77 : x
  2. Step 2: Convert to fraction form
    2,039.77/3,077.89 = 2,039.77/x
  3. Step 3: Cross multiply
    2,039.77x = 3,077.89 × 2,039.77
  4. Step 4: Simplify right side
    2,039.77x = 6,278,187.69
  5. Step 5: Solve for x
    x = 6,278,187.69/2,039.77
  6. Step 6: Final answer
    x = 3,077.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.