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Finding the Fourth Proportional to 12,847.72, 19,270.74 and 4,083.16

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Solution

The fourth proportional to 12,847.72, 19,270.74 and 4,083.16 is: 6,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.72 : 19,270.74 = 4,083.16 : x
  2. Step 2: Convert to fraction form
    12,847.72/19,270.74 = 4,083.16/x
  3. Step 3: Cross multiply
    12,847.72x = 19,270.74 × 4,083.16
  4. Step 4: Simplify right side
    12,847.72x = 78,685,514.74
  5. Step 5: Solve for x
    x = 78,685,514.74/12,847.72
  6. Step 6: Final answer
    x = 6,124.47

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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.