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Finding the Fourth Proportional to 13,833, 20,750.04 and 5,517

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Solution

The fourth proportional to 13,833, 20,750.04 and 5,517 is: 8,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833 : 20,750.04 = 5,517 : x
  2. Step 2: Convert to fraction form
    13,833/20,750.04 = 5,517/x
  3. Step 3: Cross multiply
    13,833x = 20,750.04 × 5,517
  4. Step 4: Simplify right side
    13,833x = 114,477,970.68
  5. Step 5: Solve for x
    x = 114,477,970.68/13,833
  6. Step 6: Final answer
    x = 8,275.72

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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.