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Finding the Fourth Proportional to 10,611.36, 15,902.24 and 7,975.78

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Solution

The fourth proportional to 10,611.36, 15,902.24 and 7,975.78 is: 11,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.36 : 15,902.24 = 7,975.78 : x
  2. Step 2: Convert to fraction form
    10,611.36/15,902.24 = 7,975.78/x
  3. Step 3: Cross multiply
    10,611.36x = 15,902.24 × 7,975.78
  4. Step 4: Simplify right side
    10,611.36x = 126,832,688.11
  5. Step 5: Solve for x
    x = 126,832,688.11/10,611.36
  6. Step 6: Final answer
    x = 11,952.54

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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.