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Finding the Fourth Proportional to 13,751.56, 20,631.06 and 6,349.96

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Solution

The fourth proportional to 13,751.56, 20,631.06 and 6,349.96 is: 9,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.56 : 20,631.06 = 6,349.96 : x
  2. Step 2: Convert to fraction form
    13,751.56/20,631.06 = 6,349.96/x
  3. Step 3: Cross multiply
    13,751.56x = 20,631.06 × 6,349.96
  4. Step 4: Simplify right side
    13,751.56x = 131,006,405.76
  5. Step 5: Solve for x
    x = 131,006,405.76/13,751.56
  6. Step 6: Final answer
    x = 9,526.66

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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.