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Finding the Fourth Proportional to 13,483.76, 20,228.86 and 4,249.76

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Solution

The fourth proportional to 13,483.76, 20,228.86 and 4,249.76 is: 6,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,483.76 : 20,228.86 = 4,249.76 : x
  2. Step 2: Convert to fraction form
    13,483.76/20,228.86 = 4,249.76/x
  3. Step 3: Cross multiply
    13,483.76x = 20,228.86 × 4,249.76
  4. Step 4: Simplify right side
    13,483.76x = 85,967,800.07
  5. Step 5: Solve for x
    x = 85,967,800.07/13,483.76
  6. Step 6: Final answer
    x = 6,375.65

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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.