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Finding the Fourth Proportional to 20,850.72, 31,256.64 and 6,990

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Solution

The fourth proportional to 20,850.72, 31,256.64 and 6,990 is: 10,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.72 : 31,256.64 = 6,990 : x
  2. Step 2: Convert to fraction form
    20,850.72/31,256.64 = 6,990/x
  3. Step 3: Cross multiply
    20,850.72x = 31,256.64 × 6,990
  4. Step 4: Simplify right side
    20,850.72x = 218,483,913.60
  5. Step 5: Solve for x
    x = 218,483,913.60/20,850.72
  6. Step 6: Final answer
    x = 10,478.48

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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.