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Finding the Fourth Proportional to 13,677.51, 18,876 and 7,709.74

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Solution

The fourth proportional to 13,677.51, 18,876 and 7,709.74 is: 10,640.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.51 : 18,876 = 7,709.74 : x
  2. Step 2: Convert to fraction form
    13,677.51/18,876 = 7,709.74/x
  3. Step 3: Cross multiply
    13,677.51x = 18,876 × 7,709.74
  4. Step 4: Simplify right side
    13,677.51x = 145,529,052.24
  5. Step 5: Solve for x
    x = 145,529,052.24/13,677.51
  6. Step 6: Final answer
    x = 10,640.03

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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.