Home / 2,052.21-3,077.78-571.08

Finding the Fourth Proportional to 2,052.21, 3,077.78 and 571.08

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Solution

The fourth proportional to 2,052.21, 3,077.78 and 571.08 is: 856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.21 : 3,077.78 = 571.08 : x
  2. Step 2: Convert to fraction form
    2,052.21/3,077.78 = 571.08/x
  3. Step 3: Cross multiply
    2,052.21x = 3,077.78 × 571.08
  4. Step 4: Simplify right side
    2,052.21x = 1,757,669.43
  5. Step 5: Solve for x
    x = 1,757,669.43/2,052.21
  6. Step 6: Final answer
    x = 856.48

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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.