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Finding the Fourth Proportional to 13,875, 20,812.52 and 5,667

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Solution

The fourth proportional to 13,875, 20,812.52 and 5,667 is: 8,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875 : 20,812.52 = 5,667 : x
  2. Step 2: Convert to fraction form
    13,875/20,812.52 = 5,667/x
  3. Step 3: Cross multiply
    13,875x = 20,812.52 × 5,667
  4. Step 4: Simplify right side
    13,875x = 117,944,550.84
  5. Step 5: Solve for x
    x = 117,944,550.84/13,875
  6. Step 6: Final answer
    x = 8,500.51

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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.