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Finding the Fourth Proportional to 13,990.92, 20,973.42 and 5,219.16

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Solution

The fourth proportional to 13,990.92, 20,973.42 and 5,219.16 is: 7,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.92 : 20,973.42 = 5,219.16 : x
  2. Step 2: Convert to fraction form
    13,990.92/20,973.42 = 5,219.16/x
  3. Step 3: Cross multiply
    13,990.92x = 20,973.42 × 5,219.16
  4. Step 4: Simplify right side
    13,990.92x = 109,463,634.73
  5. Step 5: Solve for x
    x = 109,463,634.73/13,990.92
  6. Step 6: Final answer
    x = 7,823.91

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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.