Home / 4,197-5,789.34-2,782.20

Finding the Fourth Proportional to 4,197, 5,789.34 and 2,782.20

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Solution

The fourth proportional to 4,197, 5,789.34 and 2,782.20 is: 3,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197 : 5,789.34 = 2,782.20 : x
  2. Step 2: Convert to fraction form
    4,197/5,789.34 = 2,782.20/x
  3. Step 3: Cross multiply
    4,197x = 5,789.34 × 2,782.20
  4. Step 4: Simplify right side
    4,197x = 16,107,101.75
  5. Step 5: Solve for x
    x = 16,107,101.75/4,197
  6. Step 6: Final answer
    x = 3,837.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.