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Finding the Fourth Proportional to 12,864, 19,296 and 4,657.92

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Solution

The fourth proportional to 12,864, 19,296 and 4,657.92 is: 6,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864 : 19,296 = 4,657.92 : x
  2. Step 2: Convert to fraction form
    12,864/19,296 = 4,657.92/x
  3. Step 3: Cross multiply
    12,864x = 19,296 × 4,657.92
  4. Step 4: Simplify right side
    12,864x = 89,879,224.32
  5. Step 5: Solve for x
    x = 89,879,224.32/12,864
  6. Step 6: Final answer
    x = 6,986.88

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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.