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Finding the Fourth Proportional to 4,906, 6,765.48 and 3,136.96

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Solution

The fourth proportional to 4,906, 6,765.48 and 3,136.96 is: 4,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906 : 6,765.48 = 3,136.96 : x
  2. Step 2: Convert to fraction form
    4,906/6,765.48 = 3,136.96/x
  3. Step 3: Cross multiply
    4,906x = 6,765.48 × 3,136.96
  4. Step 4: Simplify right side
    4,906x = 21,223,040.14
  5. Step 5: Solve for x
    x = 21,223,040.14/4,906
  6. Step 6: Final answer
    x = 4,325.94

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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.