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Finding the Fourth Proportional to 6,487.42, 9,731.19 and 2,104.90

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Solution

The fourth proportional to 6,487.42, 9,731.19 and 2,104.90 is: 3,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.42 : 9,731.19 = 2,104.90 : x
  2. Step 2: Convert to fraction form
    6,487.42/9,731.19 = 2,104.90/x
  3. Step 3: Cross multiply
    6,487.42x = 9,731.19 × 2,104.90
  4. Step 4: Simplify right side
    6,487.42x = 20,483,181.83
  5. Step 5: Solve for x
    x = 20,483,181.83/6,487.42
  6. Step 6: Final answer
    x = 3,157.37

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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.