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Finding the Fourth Proportional to 13,705.50, 20,561.13 and 5,497.50

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Solution

The fourth proportional to 13,705.50, 20,561.13 and 5,497.50 is: 8,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.50 : 20,561.13 = 5,497.50 : x
  2. Step 2: Convert to fraction form
    13,705.50/20,561.13 = 5,497.50/x
  3. Step 3: Cross multiply
    13,705.50x = 20,561.13 × 5,497.50
  4. Step 4: Simplify right side
    13,705.50x = 113,034,812.18
  5. Step 5: Solve for x
    x = 113,034,812.18/13,705.50
  6. Step 6: Final answer
    x = 8,247.41

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Why These Related Problems?

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