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Finding the Fourth Proportional to 13,794, 19,038.96 and 8,208.24

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Solution

The fourth proportional to 13,794, 19,038.96 and 8,208.24 is: 11,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794 : 19,038.96 = 8,208.24 : x
  2. Step 2: Convert to fraction form
    13,794/19,038.96 = 8,208.24/x
  3. Step 3: Cross multiply
    13,794x = 19,038.96 × 8,208.24
  4. Step 4: Simplify right side
    13,794x = 156,276,353.03
  5. Step 5: Solve for x
    x = 156,276,353.03/13,794
  6. Step 6: Final answer
    x = 11,329.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.