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Finding the Fourth Proportional to 8,709.42, 13,069.32 and 3,163.20

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Solution

The fourth proportional to 8,709.42, 13,069.32 and 3,163.20 is: 4,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.42 : 13,069.32 = 3,163.20 : x
  2. Step 2: Convert to fraction form
    8,709.42/13,069.32 = 3,163.20/x
  3. Step 3: Cross multiply
    8,709.42x = 13,069.32 × 3,163.20
  4. Step 4: Simplify right side
    8,709.42x = 41,340,873.02
  5. Step 5: Solve for x
    x = 41,340,873.02/8,709.42
  6. Step 6: Final answer
    x = 4,746.68

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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.