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Finding the Fourth Proportional to 8,662.68, 12,964.86 and 5,364.36

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Solution

The fourth proportional to 8,662.68, 12,964.86 and 5,364.36 is: 8,028.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.68 : 12,964.86 = 5,364.36 : x
  2. Step 2: Convert to fraction form
    8,662.68/12,964.86 = 5,364.36/x
  3. Step 3: Cross multiply
    8,662.68x = 12,964.86 × 5,364.36
  4. Step 4: Simplify right side
    8,662.68x = 69,548,176.39
  5. Step 5: Solve for x
    x = 69,548,176.39/8,662.68
  6. Step 6: Final answer
    x = 8,028.48

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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.