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Finding the Fourth Proportional to 4,611.36, 6,919.80 and 1,649.57

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Solution

The fourth proportional to 4,611.36, 6,919.80 and 1,649.57 is: 2,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.36 : 6,919.80 = 1,649.57 : x
  2. Step 2: Convert to fraction form
    4,611.36/6,919.80 = 1,649.57/x
  3. Step 3: Cross multiply
    4,611.36x = 6,919.80 × 1,649.57
  4. Step 4: Simplify right side
    4,611.36x = 11,414,667.62
  5. Step 5: Solve for x
    x = 11,414,667.62/4,611.36
  6. Step 6: Final answer
    x = 2,475.34

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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.