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Finding the Fourth Proportional to 8,692, 12,004.86 and 5,892.64

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Solution

The fourth proportional to 8,692, 12,004.86 and 5,892.64 is: 8,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692 : 12,004.86 = 5,892.64 : x
  2. Step 2: Convert to fraction form
    8,692/12,004.86 = 5,892.64/x
  3. Step 3: Cross multiply
    8,692x = 12,004.86 × 5,892.64
  4. Step 4: Simplify right side
    8,692x = 70,740,318.23
  5. Step 5: Solve for x
    x = 70,740,318.23/8,692
  6. Step 6: Final answer
    x = 8,138.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.