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Finding the Fourth Proportional to 5,082, 7,636.68 and 4,749.84

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Solution

The fourth proportional to 5,082, 7,636.68 and 4,749.84 is: 7,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082 : 7,636.68 = 4,749.84 : x
  2. Step 2: Convert to fraction form
    5,082/7,636.68 = 4,749.84/x
  3. Step 3: Cross multiply
    5,082x = 7,636.68 × 4,749.84
  4. Step 4: Simplify right side
    5,082x = 36,273,008.13
  5. Step 5: Solve for x
    x = 36,273,008.13/5,082
  6. Step 6: Final answer
    x = 7,137.55

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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.