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Finding the Fourth Proportional to 14,233, 19,640.04 and 8,263.50

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Solution

The fourth proportional to 14,233, 19,640.04 and 8,263.50 is: 11,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233 : 19,640.04 = 8,263.50 : x
  2. Step 2: Convert to fraction form
    14,233/19,640.04 = 8,263.50/x
  3. Step 3: Cross multiply
    14,233x = 19,640.04 × 8,263.50
  4. Step 4: Simplify right side
    14,233x = 162,295,470.54
  5. Step 5: Solve for x
    x = 162,295,470.54/14,233
  6. Step 6: Final answer
    x = 11,402.76

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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.