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Finding the Fourth Proportional to 13,129.74, 19,697.69 and 8,069.57

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Solution

The fourth proportional to 13,129.74, 19,697.69 and 8,069.57 is: 12,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.74 : 19,697.69 = 8,069.57 : x
  2. Step 2: Convert to fraction form
    13,129.74/19,697.69 = 8,069.57/x
  3. Step 3: Cross multiply
    13,129.74x = 19,697.69 × 8,069.57
  4. Step 4: Simplify right side
    13,129.74x = 158,951,749.46
  5. Step 5: Solve for x
    x = 158,951,749.46/13,129.74
  6. Step 6: Final answer
    x = 12,106.24

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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.