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Finding the Fourth Proportional to 8,709.61, 13,069.61 and 3,163.39

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Solution

The fourth proportional to 8,709.61, 13,069.61 and 3,163.39 is: 4,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.61 : 13,069.61 = 3,163.39 : x
  2. Step 2: Convert to fraction form
    8,709.61/13,069.61 = 3,163.39/x
  3. Step 3: Cross multiply
    8,709.61x = 13,069.61 × 3,163.39
  4. Step 4: Simplify right side
    8,709.61x = 41,344,225.09
  5. Step 5: Solve for x
    x = 41,344,225.09/8,709.61
  6. Step 6: Final answer
    x = 4,746.97

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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.