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Finding the Fourth Proportional to 21,665.29, 32,502.79 and 6,874.69

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Solution

The fourth proportional to 21,665.29, 32,502.79 and 6,874.69 is: 10,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.29 : 32,502.79 = 6,874.69 : x
  2. Step 2: Convert to fraction form
    21,665.29/32,502.79 = 6,874.69/x
  3. Step 3: Cross multiply
    21,665.29x = 32,502.79 × 6,874.69
  4. Step 4: Simplify right side
    21,665.29x = 223,446,442.87
  5. Step 5: Solve for x
    x = 223,446,442.87/21,665.29
  6. Step 6: Final answer
    x = 10,313.57

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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.