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Finding the Fourth Proportional to 13,990.32, 20,978.85 and 5,099.36

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Solution

The fourth proportional to 13,990.32, 20,978.85 and 5,099.36 is: 7,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.32 : 20,978.85 = 5,099.36 : x
  2. Step 2: Convert to fraction form
    13,990.32/20,978.85 = 5,099.36/x
  3. Step 3: Cross multiply
    13,990.32x = 20,978.85 × 5,099.36
  4. Step 4: Simplify right side
    13,990.32x = 106,978,594.08
  5. Step 5: Solve for x
    x = 106,978,594.08/13,990.32
  6. Step 6: Final answer
    x = 7,646.62

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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.