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Finding the Fourth Proportional to 13,702.08, 18,909 and 8,112

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Solution

The fourth proportional to 13,702.08, 18,909 and 8,112 is: 11,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.08 : 18,909 = 8,112 : x
  2. Step 2: Convert to fraction form
    13,702.08/18,909 = 8,112/x
  3. Step 3: Cross multiply
    13,702.08x = 18,909 × 8,112
  4. Step 4: Simplify right side
    13,702.08x = 153,389,808
  5. Step 5: Solve for x
    x = 153,389,808/13,702.08
  6. Step 6: Final answer
    x = 11,194.64

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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.