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Finding the Fourth Proportional to 5,611.30, 8,415.99 and 1,662.47

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Solution

The fourth proportional to 5,611.30, 8,415.99 and 1,662.47 is: 2,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.30 : 8,415.99 = 1,662.47 : x
  2. Step 2: Convert to fraction form
    5,611.30/8,415.99 = 1,662.47/x
  3. Step 3: Cross multiply
    5,611.30x = 8,415.99 × 1,662.47
  4. Step 4: Simplify right side
    5,611.30x = 13,991,330.90
  5. Step 5: Solve for x
    x = 13,991,330.90/5,611.30
  6. Step 6: Final answer
    x = 2,493.42

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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.