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Finding the Fourth Proportional to 12,794.88, 19,176 and 5,767.36

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Solution

The fourth proportional to 12,794.88, 19,176 and 5,767.36 is: 8,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.88 : 19,176 = 5,767.36 : x
  2. Step 2: Convert to fraction form
    12,794.88/19,176 = 5,767.36/x
  3. Step 3: Cross multiply
    12,794.88x = 19,176 × 5,767.36
  4. Step 4: Simplify right side
    12,794.88x = 110,594,895.36
  5. Step 5: Solve for x
    x = 110,594,895.36/12,794.88
  6. Step 6: Final answer
    x = 8,643.68

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