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Finding the Fourth Proportional to 13,990.14, 20,978.55 and 5,099.18

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Solution

The fourth proportional to 13,990.14, 20,978.55 and 5,099.18 is: 7,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.14 : 20,978.55 = 5,099.18 : x
  2. Step 2: Convert to fraction form
    13,990.14/20,978.55 = 5,099.18/x
  3. Step 3: Cross multiply
    13,990.14x = 20,978.55 × 5,099.18
  4. Step 4: Simplify right side
    13,990.14x = 106,973,297.70
  5. Step 5: Solve for x
    x = 106,973,297.70/13,990.14
  6. Step 6: Final answer
    x = 7,646.34

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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.