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Finding the Fourth Proportional to 3,649.19, 5,036 and 1,993.19

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Solution

The fourth proportional to 3,649.19, 5,036 and 1,993.19 is: 2,750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.19 : 5,036 = 1,993.19 : x
  2. Step 2: Convert to fraction form
    3,649.19/5,036 = 1,993.19/x
  3. Step 3: Cross multiply
    3,649.19x = 5,036 × 1,993.19
  4. Step 4: Simplify right side
    3,649.19x = 10,037,692.25
  5. Step 5: Solve for x
    x = 10,037,692.25/3,649.19
  6. Step 6: Final answer
    x = 2,750.66

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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.