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Finding the Fourth Proportional to 8,455, 12,682.54 and 2,983

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Solution

The fourth proportional to 8,455, 12,682.54 and 2,983 is: 4,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455 : 12,682.54 = 2,983 : x
  2. Step 2: Convert to fraction form
    8,455/12,682.54 = 2,983/x
  3. Step 3: Cross multiply
    8,455x = 12,682.54 × 2,983
  4. Step 4: Simplify right side
    8,455x = 37,832,016.82
  5. Step 5: Solve for x
    x = 37,832,016.82/8,455
  6. Step 6: Final answer
    x = 4,474.51

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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.