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Finding the Fourth Proportional to 15,082, 20,814.12 and 8,458

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Solution

The fourth proportional to 15,082, 20,814.12 and 8,458 is: 11,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082 : 20,814.12 = 8,458 : x
  2. Step 2: Convert to fraction form
    15,082/20,814.12 = 8,458/x
  3. Step 3: Cross multiply
    15,082x = 20,814.12 × 8,458
  4. Step 4: Simplify right side
    15,082x = 176,045,826.96
  5. Step 5: Solve for x
    x = 176,045,826.96/15,082
  6. Step 6: Final answer
    x = 11,672.58

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Why These Related Problems?

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