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Finding the Fourth Proportional to 10,099.96, 15,149.97 and 4,902.19

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Solution

The fourth proportional to 10,099.96, 15,149.97 and 4,902.19 is: 7,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.96 : 15,149.97 = 4,902.19 : x
  2. Step 2: Convert to fraction form
    10,099.96/15,149.97 = 4,902.19/x
  3. Step 3: Cross multiply
    10,099.96x = 15,149.97 × 4,902.19
  4. Step 4: Simplify right side
    10,099.96x = 74,267,993.56
  5. Step 5: Solve for x
    x = 74,267,993.56/10,099.96
  6. Step 6: Final answer
    x = 7,353.30

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1.5x scale

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.