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Finding the Fourth Proportional to 11,305.11, 16,951.44 and 8,980.02

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Solution

The fourth proportional to 11,305.11, 16,951.44 and 8,980.02 is: 13,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.11 : 16,951.44 = 8,980.02 : x
  2. Step 2: Convert to fraction form
    11,305.11/16,951.44 = 8,980.02/x
  3. Step 3: Cross multiply
    11,305.11x = 16,951.44 × 8,980.02
  4. Step 4: Simplify right side
    11,305.11x = 152,224,270.23
  5. Step 5: Solve for x
    x = 152,224,270.23/11,305.11
  6. Step 6: Final answer
    x = 13,465.09

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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.