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Finding the Fourth Proportional to 19,410, 26,787.96 and 11,958

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Solution

The fourth proportional to 19,410, 26,787.96 and 11,958 is: 16,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,410 : 26,787.96 = 11,958 : x
  2. Step 2: Convert to fraction form
    19,410/26,787.96 = 11,958/x
  3. Step 3: Cross multiply
    19,410x = 26,787.96 × 11,958
  4. Step 4: Simplify right side
    19,410x = 320,330,425.68
  5. Step 5: Solve for x
    x = 320,330,425.68/19,410
  6. Step 6: Final answer
    x = 16,503.37

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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.