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Finding the Fourth Proportional to 12,764, 19,148.88 and 3,998

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Solution

The fourth proportional to 12,764, 19,148.88 and 3,998 is: 5,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764 : 19,148.88 = 3,998 : x
  2. Step 2: Convert to fraction form
    12,764/19,148.88 = 3,998/x
  3. Step 3: Cross multiply
    12,764x = 19,148.88 × 3,998
  4. Step 4: Simplify right side
    12,764x = 76,557,222.24
  5. Step 5: Solve for x
    x = 76,557,222.24/12,764
  6. Step 6: Final answer
    x = 5,997.90

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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.