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Finding the Fourth Proportional to 13,379.06, 18,466.17 and 8,903

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Solution

The fourth proportional to 13,379.06, 18,466.17 and 8,903 is: 12,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.06 : 18,466.17 = 8,903 : x
  2. Step 2: Convert to fraction form
    13,379.06/18,466.17 = 8,903/x
  3. Step 3: Cross multiply
    13,379.06x = 18,466.17 × 8,903
  4. Step 4: Simplify right side
    13,379.06x = 164,404,311.51
  5. Step 5: Solve for x
    x = 164,404,311.51/13,379.06
  6. Step 6: Final answer
    x = 12,288.18

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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.