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Finding the Fourth Proportional to 5,649, 8,478.90 and 2,361.22

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Solution

The fourth proportional to 5,649, 8,478.90 and 2,361.22 is: 3,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649 : 8,478.90 = 2,361.22 : x
  2. Step 2: Convert to fraction form
    5,649/8,478.90 = 2,361.22/x
  3. Step 3: Cross multiply
    5,649x = 8,478.90 × 2,361.22
  4. Step 4: Simplify right side
    5,649x = 20,020,548.26
  5. Step 5: Solve for x
    x = 20,020,548.26/5,649
  6. Step 6: Final answer
    x = 3,544.09

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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.