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Finding the Fourth Proportional to 3,649.75, 5,471.38 and 1,340.71

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Solution

The fourth proportional to 3,649.75, 5,471.38 and 1,340.71 is: 2,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.75 : 5,471.38 = 1,340.71 : x
  2. Step 2: Convert to fraction form
    3,649.75/5,471.38 = 1,340.71/x
  3. Step 3: Cross multiply
    3,649.75x = 5,471.38 × 1,340.71
  4. Step 4: Simplify right side
    3,649.75x = 7,335,533.88
  5. Step 5: Solve for x
    x = 7,335,533.88/3,649.75
  6. Step 6: Final answer
    x = 2,009.87

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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.