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Finding the Fourth Proportional to 3,649.74, 5,475.42 and 1,983.84

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Solution

The fourth proportional to 3,649.74, 5,475.42 and 1,983.84 is: 2,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.74 : 5,475.42 = 1,983.84 : x
  2. Step 2: Convert to fraction form
    3,649.74/5,475.42 = 1,983.84/x
  3. Step 3: Cross multiply
    3,649.74x = 5,475.42 × 1,983.84
  4. Step 4: Simplify right side
    3,649.74x = 10,862,357.21
  5. Step 5: Solve for x
    x = 10,862,357.21/3,649.74
  6. Step 6: Final answer
    x = 2,976.20

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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.