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Finding the Fourth Proportional to 13,097.77, 18,087.77 and 11,198.39

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Solution

The fourth proportional to 13,097.77, 18,087.77 and 11,198.39 is: 15,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.77 : 18,087.77 = 11,198.39 : x
  2. Step 2: Convert to fraction form
    13,097.77/18,087.77 = 11,198.39/x
  3. Step 3: Cross multiply
    13,097.77x = 18,087.77 × 11,198.39
  4. Step 4: Simplify right side
    13,097.77x = 202,553,840.25
  5. Step 5: Solve for x
    x = 202,553,840.25/13,097.77
  6. Step 6: Final answer
    x = 15,464.76

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1.5x scale

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.