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Finding the Fourth Proportional to 20,762.50, 31,144.02 and 6,911.50

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Solution

The fourth proportional to 20,762.50, 31,144.02 and 6,911.50 is: 10,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.50 : 31,144.02 = 6,911.50 : x
  2. Step 2: Convert to fraction form
    20,762.50/31,144.02 = 6,911.50/x
  3. Step 3: Cross multiply
    20,762.50x = 31,144.02 × 6,911.50
  4. Step 4: Simplify right side
    20,762.50x = 215,251,894.23
  5. Step 5: Solve for x
    x = 215,251,894.23/20,762.50
  6. Step 6: Final answer
    x = 10,367.34

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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.