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Finding the Fourth Proportional to 13,844, 20,774.64 and 5,636

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Solution

The fourth proportional to 13,844, 20,774.64 and 5,636 is: 8,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844 : 20,774.64 = 5,636 : x
  2. Step 2: Convert to fraction form
    13,844/20,774.64 = 5,636/x
  3. Step 3: Cross multiply
    13,844x = 20,774.64 × 5,636
  4. Step 4: Simplify right side
    13,844x = 117,085,871.04
  5. Step 5: Solve for x
    x = 117,085,871.04/13,844
  6. Step 6: Final answer
    x = 8,457.52

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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.