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Finding the Fourth Proportional to 13,791.84, 19,032.86 and 8,201.76

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Solution

The fourth proportional to 13,791.84, 19,032.86 and 8,201.76 is: 11,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.84 : 19,032.86 = 8,201.76 : x
  2. Step 2: Convert to fraction form
    13,791.84/19,032.86 = 8,201.76/x
  3. Step 3: Cross multiply
    13,791.84x = 19,032.86 × 8,201.76
  4. Step 4: Simplify right side
    13,791.84x = 156,102,949.83
  5. Step 5: Solve for x
    x = 156,102,949.83/13,791.84
  6. Step 6: Final answer
    x = 11,318.50

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1.5x scale

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.