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Finding the Fourth Proportional to 10,195.42, 14,082.52 and 8,409.38

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Solution

The fourth proportional to 10,195.42, 14,082.52 and 8,409.38 is: 11,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.42 : 14,082.52 = 8,409.38 : x
  2. Step 2: Convert to fraction form
    10,195.42/14,082.52 = 8,409.38/x
  3. Step 3: Cross multiply
    10,195.42x = 14,082.52 × 8,409.38
  4. Step 4: Simplify right side
    10,195.42x = 118,425,262.04
  5. Step 5: Solve for x
    x = 118,425,262.04/10,195.42
  6. Step 6: Final answer
    x = 11,615.54

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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.