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Finding the Fourth Proportional to 6,536, 9,806.16 and 2,638.28

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Solution

The fourth proportional to 6,536, 9,806.16 and 2,638.28 is: 3,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536 : 9,806.16 = 2,638.28 : x
  2. Step 2: Convert to fraction form
    6,536/9,806.16 = 2,638.28/x
  3. Step 3: Cross multiply
    6,536x = 9,806.16 × 2,638.28
  4. Step 4: Simplify right side
    6,536x = 25,871,395.80
  5. Step 5: Solve for x
    x = 25,871,395.80/6,536
  6. Step 6: Final answer
    x = 3,958.29

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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.