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Finding the Fourth Proportional to 13,564.46, 20,349.86 and 4,203.99

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Solution

The fourth proportional to 13,564.46, 20,349.86 and 4,203.99 is: 6,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.46 : 20,349.86 = 4,203.99 : x
  2. Step 2: Convert to fraction form
    13,564.46/20,349.86 = 4,203.99/x
  3. Step 3: Cross multiply
    13,564.46x = 20,349.86 × 4,203.99
  4. Step 4: Simplify right side
    13,564.46x = 85,550,607.94
  5. Step 5: Solve for x
    x = 85,550,607.94/13,564.46
  6. Step 6: Final answer
    x = 6,306.97

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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.