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Finding the Fourth Proportional to 13,871.69, 19,143.69 and 8,209.79

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Solution

The fourth proportional to 13,871.69, 19,143.69 and 8,209.79 is: 11,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.69 : 19,143.69 = 8,209.79 : x
  2. Step 2: Convert to fraction form
    13,871.69/19,143.69 = 8,209.79/x
  3. Step 3: Cross multiply
    13,871.69x = 19,143.69 × 8,209.79
  4. Step 4: Simplify right side
    13,871.69x = 157,165,674.73
  5. Step 5: Solve for x
    x = 157,165,674.73/13,871.69
  6. Step 6: Final answer
    x = 11,329.96

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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.