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Finding the Fourth Proportional to 4,082, 6,123.12 and 1,004

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Solution

The fourth proportional to 4,082, 6,123.12 and 1,004 is: 1,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082 : 6,123.12 = 1,004 : x
  2. Step 2: Convert to fraction form
    4,082/6,123.12 = 1,004/x
  3. Step 3: Cross multiply
    4,082x = 6,123.12 × 1,004
  4. Step 4: Simplify right side
    4,082x = 6,147,612.48
  5. Step 5: Solve for x
    x = 6,147,612.48/4,082
  6. Step 6: Final answer
    x = 1,506.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.