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Finding the Fourth Proportional to 14,431.82, 19,916.01 and 8,463.60

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Solution

The fourth proportional to 14,431.82, 19,916.01 and 8,463.60 is: 11,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.82 : 19,916.01 = 8,463.60 : x
  2. Step 2: Convert to fraction form
    14,431.82/19,916.01 = 8,463.60/x
  3. Step 3: Cross multiply
    14,431.82x = 19,916.01 × 8,463.60
  4. Step 4: Simplify right side
    14,431.82x = 168,561,142.24
  5. Step 5: Solve for x
    x = 168,561,142.24/14,431.82
  6. Step 6: Final answer
    x = 11,679.83

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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.