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Finding the Fourth Proportional to 13,107.09, 18,093.02 and 7,800.88

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Solution

The fourth proportional to 13,107.09, 18,093.02 and 7,800.88 is: 10,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.09 : 18,093.02 = 7,800.88 : x
  2. Step 2: Convert to fraction form
    13,107.09/18,093.02 = 7,800.88/x
  3. Step 3: Cross multiply
    13,107.09x = 18,093.02 × 7,800.88
  4. Step 4: Simplify right side
    13,107.09x = 141,141,477.86
  5. Step 5: Solve for x
    x = 141,141,477.86/13,107.09
  6. Step 6: Final answer
    x = 10,768.33

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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.