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Finding the Fourth Proportional to 8,726, 13,086.36 and 2,884.16

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Solution

The fourth proportional to 8,726, 13,086.36 and 2,884.16 is: 4,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726 : 13,086.36 = 2,884.16 : x
  2. Step 2: Convert to fraction form
    8,726/13,086.36 = 2,884.16/x
  3. Step 3: Cross multiply
    8,726x = 13,086.36 × 2,884.16
  4. Step 4: Simplify right side
    8,726x = 37,743,156.06
  5. Step 5: Solve for x
    x = 37,743,156.06/8,726
  6. Step 6: Final answer
    x = 4,325.37

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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.