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Finding the Fourth Proportional to 20,999.84, 31,500.64 and 7,850.88

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Solution

The fourth proportional to 20,999.84, 31,500.64 and 7,850.88 is: 11,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.84 : 31,500.64 = 7,850.88 : x
  2. Step 2: Convert to fraction form
    20,999.84/31,500.64 = 7,850.88/x
  3. Step 3: Cross multiply
    20,999.84x = 31,500.64 × 7,850.88
  4. Step 4: Simplify right side
    20,999.84x = 247,307,744.56
  5. Step 5: Solve for x
    x = 247,307,744.56/20,999.84
  6. Step 6: Final answer
    x = 11,776.65

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1.5x scale

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.