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Finding the Fourth Proportional to 12,169, 16,791.24 and 6,863.50

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Solution

The fourth proportional to 12,169, 16,791.24 and 6,863.50 is: 9,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169 : 16,791.24 = 6,863.50 : x
  2. Step 2: Convert to fraction form
    12,169/16,791.24 = 6,863.50/x
  3. Step 3: Cross multiply
    12,169x = 16,791.24 × 6,863.50
  4. Step 4: Simplify right side
    12,169x = 115,246,675.74
  5. Step 5: Solve for x
    x = 115,246,675.74/12,169
  6. Step 6: Final answer
    x = 9,470.51

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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.