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Finding the Fourth Proportional to 11,872.36, 17,808.54 and 4,942

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Solution

The fourth proportional to 11,872.36, 17,808.54 and 4,942 is: 7,413

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.36 : 17,808.54 = 4,942 : x
  2. Step 2: Convert to fraction form
    11,872.36/17,808.54 = 4,942/x
  3. Step 3: Cross multiply
    11,872.36x = 17,808.54 × 4,942
  4. Step 4: Simplify right side
    11,872.36x = 88,009,804.68
  5. Step 5: Solve for x
    x = 88,009,804.68/11,872.36
  6. Step 6: Final answer
    x = 7,413

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.