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Finding the Fourth Proportional to 13,872.09, 19,138.09 and 8,835.41

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Solution

The fourth proportional to 13,872.09, 19,138.09 and 8,835.41 is: 12,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.09 : 19,138.09 = 8,835.41 : x
  2. Step 2: Convert to fraction form
    13,872.09/19,138.09 = 8,835.41/x
  3. Step 3: Cross multiply
    13,872.09x = 19,138.09 × 8,835.41
  4. Step 4: Simplify right side
    13,872.09x = 169,092,871.77
  5. Step 5: Solve for x
    x = 169,092,871.77/13,872.09
  6. Step 6: Final answer
    x = 12,189.43

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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.