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Finding the Fourth Proportional to 10,021.53, 13,829.85 and 6,246.22

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Solution

The fourth proportional to 10,021.53, 13,829.85 and 6,246.22 is: 8,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.53 : 13,829.85 = 6,246.22 : x
  2. Step 2: Convert to fraction form
    10,021.53/13,829.85 = 6,246.22/x
  3. Step 3: Cross multiply
    10,021.53x = 13,829.85 × 6,246.22
  4. Step 4: Simplify right side
    10,021.53x = 86,384,285.67
  5. Step 5: Solve for x
    x = 86,384,285.67/10,021.53
  6. Step 6: Final answer
    x = 8,619.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.