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Finding the Fourth Proportional to 10,489.85, 15,734.10 and 3,099.16

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Solution

The fourth proportional to 10,489.85, 15,734.10 and 3,099.16 is: 4,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.85 : 15,734.10 = 3,099.16 : x
  2. Step 2: Convert to fraction form
    10,489.85/15,734.10 = 3,099.16/x
  3. Step 3: Cross multiply
    10,489.85x = 15,734.10 × 3,099.16
  4. Step 4: Simplify right side
    10,489.85x = 48,762,507.21
  5. Step 5: Solve for x
    x = 48,762,507.21/10,489.85
  6. Step 6: Final answer
    x = 4,648.54

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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.