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Finding the Fourth Proportional to 13,086.35, 19,631.35 and 4,199.60

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Solution

The fourth proportional to 13,086.35, 19,631.35 and 4,199.60 is: 6,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.35 : 19,631.35 = 4,199.60 : x
  2. Step 2: Convert to fraction form
    13,086.35/19,631.35 = 4,199.60/x
  3. Step 3: Cross multiply
    13,086.35x = 19,631.35 × 4,199.60
  4. Step 4: Simplify right side
    13,086.35x = 82,443,737.74
  5. Step 5: Solve for x
    x = 82,443,737.74/13,086.35
  6. Step 6: Final answer
    x = 6,299.98

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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.