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Finding the Fourth Proportional to 20,993.08, 31,479.90 and 7,845.16

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Solution

The fourth proportional to 20,993.08, 31,479.90 and 7,845.16 is: 11,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.08 : 31,479.90 = 7,845.16 : x
  2. Step 2: Convert to fraction form
    20,993.08/31,479.90 = 7,845.16/x
  3. Step 3: Cross multiply
    20,993.08x = 31,479.90 × 7,845.16
  4. Step 4: Simplify right side
    20,993.08x = 246,964,852.28
  5. Step 5: Solve for x
    x = 246,964,852.28/20,993.08
  6. Step 6: Final answer
    x = 11,764.11

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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.