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Finding the Fourth Proportional to 8,089.70, 11,090.97 and 7,942.07

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Solution

The fourth proportional to 8,089.70, 11,090.97 and 7,942.07 is: 10,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.70 : 11,090.97 = 7,942.07 : x
  2. Step 2: Convert to fraction form
    8,089.70/11,090.97 = 7,942.07/x
  3. Step 3: Cross multiply
    8,089.70x = 11,090.97 × 7,942.07
  4. Step 4: Simplify right side
    8,089.70x = 88,085,287.84
  5. Step 5: Solve for x
    x = 88,085,287.84/8,089.70
  6. Step 6: Final answer
    x = 10,888.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.