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Finding the Fourth Proportional to 10,611.33, 15,901.90 and 7,816.02

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Solution

The fourth proportional to 10,611.33, 15,901.90 and 7,816.02 is: 11,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.33 : 15,901.90 = 7,816.02 : x
  2. Step 2: Convert to fraction form
    10,611.33/15,901.90 = 7,816.02/x
  3. Step 3: Cross multiply
    10,611.33x = 15,901.90 × 7,816.02
  4. Step 4: Simplify right side
    10,611.33x = 124,289,568.44
  5. Step 5: Solve for x
    x = 124,289,568.44/10,611.33
  6. Step 6: Final answer
    x = 11,712.91

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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.