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Finding the Fourth Proportional to 13,898, 20,843.72 and 4,535.60

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Solution

The fourth proportional to 13,898, 20,843.72 and 4,535.60 is: 6,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898 : 20,843.72 = 4,535.60 : x
  2. Step 2: Convert to fraction form
    13,898/20,843.72 = 4,535.60/x
  3. Step 3: Cross multiply
    13,898x = 20,843.72 × 4,535.60
  4. Step 4: Simplify right side
    13,898x = 94,538,776.43
  5. Step 5: Solve for x
    x = 94,538,776.43/13,898
  6. Step 6: Final answer
    x = 6,802.33

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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.