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Finding the Fourth Proportional to 13,238, 18,277.01 and 8,207.58

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Solution

The fourth proportional to 13,238, 18,277.01 and 8,207.58 is: 11,331.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238 : 18,277.01 = 8,207.58 : x
  2. Step 2: Convert to fraction form
    13,238/18,277.01 = 8,207.58/x
  3. Step 3: Cross multiply
    13,238x = 18,277.01 × 8,207.58
  4. Step 4: Simplify right side
    13,238x = 150,010,021.74
  5. Step 5: Solve for x
    x = 150,010,021.74/13,238
  6. Step 6: Final answer
    x = 11,331.77

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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.