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Finding the Fourth Proportional to 18,455, 27,682.50 and 5,985.46

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Solution

The fourth proportional to 18,455, 27,682.50 and 5,985.46 is: 8,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,455 : 27,682.50 = 5,985.46 : x
  2. Step 2: Convert to fraction form
    18,455/27,682.50 = 5,985.46/x
  3. Step 3: Cross multiply
    18,455x = 27,682.50 × 5,985.46
  4. Step 4: Simplify right side
    18,455x = 165,692,358.04
  5. Step 5: Solve for x
    x = 165,692,358.04/18,455
  6. Step 6: Final answer
    x = 8,978.18

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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.