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Finding the Fourth Proportional to 8,662.84, 12,997.28 and 2,740.64

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Solution

The fourth proportional to 8,662.84, 12,997.28 and 2,740.64 is: 4,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.84 : 12,997.28 = 2,740.64 : x
  2. Step 2: Convert to fraction form
    8,662.84/12,997.28 = 2,740.64/x
  3. Step 3: Cross multiply
    8,662.84x = 12,997.28 × 2,740.64
  4. Step 4: Simplify right side
    8,662.84x = 35,620,865.46
  5. Step 5: Solve for x
    x = 35,620,865.46/8,662.84
  6. Step 6: Final answer
    x = 4,111.92

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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.