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Finding the Fourth Proportional to 10,221.74, 15,299.78 and 6,883.84

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Solution

The fourth proportional to 10,221.74, 15,299.78 and 6,883.84 is: 10,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.74 : 15,299.78 = 6,883.84 : x
  2. Step 2: Convert to fraction form
    10,221.74/15,299.78 = 6,883.84/x
  3. Step 3: Cross multiply
    10,221.74x = 15,299.78 × 6,883.84
  4. Step 4: Simplify right side
    10,221.74x = 105,321,237.56
  5. Step 5: Solve for x
    x = 105,321,237.56/10,221.74
  6. Step 6: Final answer
    x = 10,303.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.