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Finding the Fourth Proportional to 3,647.80, 5,471.70 and 1,799.20

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Solution

The fourth proportional to 3,647.80, 5,471.70 and 1,799.20 is: 2,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.80 : 5,471.70 = 1,799.20 : x
  2. Step 2: Convert to fraction form
    3,647.80/5,471.70 = 1,799.20/x
  3. Step 3: Cross multiply
    3,647.80x = 5,471.70 × 1,799.20
  4. Step 4: Simplify right side
    3,647.80x = 9,844,682.64
  5. Step 5: Solve for x
    x = 9,844,682.64/3,647.80
  6. Step 6: Final answer
    x = 2,698.80

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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.