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Finding the Fourth Proportional to 13,868, 19,137.92 and 8,900

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Solution

The fourth proportional to 13,868, 19,137.92 and 8,900 is: 12,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868 : 19,137.92 = 8,900 : x
  2. Step 2: Convert to fraction form
    13,868/19,137.92 = 8,900/x
  3. Step 3: Cross multiply
    13,868x = 19,137.92 × 8,900
  4. Step 4: Simplify right side
    13,868x = 170,327,488.00
  5. Step 5: Solve for x
    x = 170,327,488.00/13,868
  6. Step 6: Final answer
    x = 12,282.05

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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.