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Finding the Fourth Proportional to 10,636, 15,954 and 2,844.64

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Solution

The fourth proportional to 10,636, 15,954 and 2,844.64 is: 4,266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636 : 15,954 = 2,844.64 : x
  2. Step 2: Convert to fraction form
    10,636/15,954 = 2,844.64/x
  3. Step 3: Cross multiply
    10,636x = 15,954 × 2,844.64
  4. Step 4: Simplify right side
    10,636x = 45,383,386.56
  5. Step 5: Solve for x
    x = 45,383,386.56/10,636
  6. Step 6: Final answer
    x = 4,266.96

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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.