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Finding the Fourth Proportional to 3,987.28, 5,983.69 and 1,649.39

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Solution

The fourth proportional to 3,987.28, 5,983.69 and 1,649.39 is: 2,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.28 : 5,983.69 = 1,649.39 : x
  2. Step 2: Convert to fraction form
    3,987.28/5,983.69 = 1,649.39/x
  3. Step 3: Cross multiply
    3,987.28x = 5,983.69 × 1,649.39
  4. Step 4: Simplify right side
    3,987.28x = 9,869,438.45
  5. Step 5: Solve for x
    x = 9,869,438.45/3,987.28
  6. Step 6: Final answer
    x = 2,475.23

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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.