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Finding the Fourth Proportional to 14,181.57, 19,569.74 and 8,212.82

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Solution

The fourth proportional to 14,181.57, 19,569.74 and 8,212.82 is: 11,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.57 : 19,569.74 = 8,212.82 : x
  2. Step 2: Convert to fraction form
    14,181.57/19,569.74 = 8,212.82/x
  3. Step 3: Cross multiply
    14,181.57x = 19,569.74 × 8,212.82
  4. Step 4: Simplify right side
    14,181.57x = 160,722,613.15
  5. Step 5: Solve for x
    x = 160,722,613.15/14,181.57
  6. Step 6: Final answer
    x = 11,333.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.