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Finding the Fourth Proportional to 7,186.79, 10,790.21 and 5,706.92

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Solution

The fourth proportional to 7,186.79, 10,790.21 and 5,706.92 is: 8,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.79 : 10,790.21 = 5,706.92 : x
  2. Step 2: Convert to fraction form
    7,186.79/10,790.21 = 5,706.92/x
  3. Step 3: Cross multiply
    7,186.79x = 10,790.21 × 5,706.92
  4. Step 4: Simplify right side
    7,186.79x = 61,578,906.50
  5. Step 5: Solve for x
    x = 61,578,906.50/7,186.79
  6. Step 6: Final answer
    x = 8,568.34

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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.