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Finding the Fourth Proportional to 13,709.56, 18,913.17 and 8,041.43

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Solution

The fourth proportional to 13,709.56, 18,913.17 and 8,041.43 is: 11,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.56 : 18,913.17 = 8,041.43 : x
  2. Step 2: Convert to fraction form
    13,709.56/18,913.17 = 8,041.43/x
  3. Step 3: Cross multiply
    13,709.56x = 18,913.17 × 8,041.43
  4. Step 4: Simplify right side
    13,709.56x = 152,088,932.63
  5. Step 5: Solve for x
    x = 152,088,932.63/13,709.56
  6. Step 6: Final answer
    x = 11,093.64

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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.