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Finding the Fourth Proportional to 13,731, 18,948 and 8,424.72

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Solution

The fourth proportional to 13,731, 18,948 and 8,424.72 is: 11,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731 : 18,948 = 8,424.72 : x
  2. Step 2: Convert to fraction form
    13,731/18,948 = 8,424.72/x
  3. Step 3: Cross multiply
    13,731x = 18,948 × 8,424.72
  4. Step 4: Simplify right side
    13,731x = 159,631,594.56
  5. Step 5: Solve for x
    x = 159,631,594.56/13,731
  6. Step 6: Final answer
    x = 11,625.64

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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.