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Finding the Fourth Proportional to 8,144.64, 12,128.97 and 8,052.37

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Solution

The fourth proportional to 8,144.64, 12,128.97 and 8,052.37 is: 11,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.64 : 12,128.97 = 8,052.37 : x
  2. Step 2: Convert to fraction form
    8,144.64/12,128.97 = 8,052.37/x
  3. Step 3: Cross multiply
    8,144.64x = 12,128.97 × 8,052.37
  4. Step 4: Simplify right side
    8,144.64x = 97,666,971.37
  5. Step 5: Solve for x
    x = 97,666,971.37/8,144.64
  6. Step 6: Final answer
    x = 11,991.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.