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Finding the Fourth Proportional to 18,213, 27,325.98 and 8,985.48

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Solution

The fourth proportional to 18,213, 27,325.98 and 8,985.48 is: 13,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,213 : 27,325.98 = 8,985.48 : x
  2. Step 2: Convert to fraction form
    18,213/27,325.98 = 8,985.48/x
  3. Step 3: Cross multiply
    18,213x = 27,325.98 × 8,985.48
  4. Step 4: Simplify right side
    18,213x = 245,537,046.77
  5. Step 5: Solve for x
    x = 245,537,046.77/18,213
  6. Step 6: Final answer
    x = 13,481.42

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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.