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Finding the Fourth Proportional to 14,372.30, 19,832.90 and 8,403.68

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Solution

The fourth proportional to 14,372.30, 19,832.90 and 8,403.68 is: 11,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372.30 : 19,832.90 = 8,403.68 : x
  2. Step 2: Convert to fraction form
    14,372.30/19,832.90 = 8,403.68/x
  3. Step 3: Cross multiply
    14,372.30x = 19,832.90 × 8,403.68
  4. Step 4: Simplify right side
    14,372.30x = 166,669,345.07
  5. Step 5: Solve for x
    x = 166,669,345.07/14,372.30
  6. Step 6: Final answer
    x = 11,596.57

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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.