Home / 2,126.77-3,187.71-827.14

Finding the Fourth Proportional to 2,126.77, 3,187.71 and 827.14

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Solution

The fourth proportional to 2,126.77, 3,187.71 and 827.14 is: 1,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.77 : 3,187.71 = 827.14 : x
  2. Step 2: Convert to fraction form
    2,126.77/3,187.71 = 827.14/x
  3. Step 3: Cross multiply
    2,126.77x = 3,187.71 × 827.14
  4. Step 4: Simplify right side
    2,126.77x = 2,636,682.45
  5. Step 5: Solve for x
    x = 2,636,682.45/2,126.77
  6. Step 6: Final answer
    x = 1,239.76

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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.