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Finding the Fourth Proportional to 14,082.34, 21,115.93 and 5,644.61

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Solution

The fourth proportional to 14,082.34, 21,115.93 and 5,644.61 is: 8,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.34 : 21,115.93 = 5,644.61 : x
  2. Step 2: Convert to fraction form
    14,082.34/21,115.93 = 5,644.61/x
  3. Step 3: Cross multiply
    14,082.34x = 21,115.93 × 5,644.61
  4. Step 4: Simplify right side
    14,082.34x = 119,191,145.21
  5. Step 5: Solve for x
    x = 119,191,145.21/14,082.34
  6. Step 6: Final answer
    x = 8,463.87

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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.