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Finding the Fourth Proportional to 7,106.63, 10,660.22 and 1,912.64

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Solution

The fourth proportional to 7,106.63, 10,660.22 and 1,912.64 is: 2,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.63 : 10,660.22 = 1,912.64 : x
  2. Step 2: Convert to fraction form
    7,106.63/10,660.22 = 1,912.64/x
  3. Step 3: Cross multiply
    7,106.63x = 10,660.22 × 1,912.64
  4. Step 4: Simplify right side
    7,106.63x = 20,389,153.62
  5. Step 5: Solve for x
    x = 20,389,153.62/7,106.63
  6. Step 6: Final answer
    x = 2,869.03

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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.