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Finding the Fourth Proportional to 13,661.87, 20,484.50 and 5,340.33

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Solution

The fourth proportional to 13,661.87, 20,484.50 and 5,340.33 is: 8,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.87 : 20,484.50 = 5,340.33 : x
  2. Step 2: Convert to fraction form
    13,661.87/20,484.50 = 5,340.33/x
  3. Step 3: Cross multiply
    13,661.87x = 20,484.50 × 5,340.33
  4. Step 4: Simplify right side
    13,661.87x = 109,393,963.18
  5. Step 5: Solve for x
    x = 109,393,963.18/13,661.87
  6. Step 6: Final answer
    x = 8,007.25

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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.