Home / 2,054.10-3,082.26-1,177.80

Finding the Fourth Proportional to 2,054.10, 3,082.26 and 1,177.80

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Solution

The fourth proportional to 2,054.10, 3,082.26 and 1,177.80 is: 1,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.10 : 3,082.26 = 1,177.80 : x
  2. Step 2: Convert to fraction form
    2,054.10/3,082.26 = 1,177.80/x
  3. Step 3: Cross multiply
    2,054.10x = 3,082.26 × 1,177.80
  4. Step 4: Simplify right side
    2,054.10x = 3,630,285.83
  5. Step 5: Solve for x
    x = 3,630,285.83/2,054.10
  6. Step 6: Final answer
    x = 1,767.34

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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.