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Finding the Fourth Proportional to 6,431, 9,647.38 and 2,270.04

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Solution

The fourth proportional to 6,431, 9,647.38 and 2,270.04 is: 3,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431 : 9,647.38 = 2,270.04 : x
  2. Step 2: Convert to fraction form
    6,431/9,647.38 = 2,270.04/x
  3. Step 3: Cross multiply
    6,431x = 9,647.38 × 2,270.04
  4. Step 4: Simplify right side
    6,431x = 21,899,938.50
  5. Step 5: Solve for x
    x = 21,899,938.50/6,431
  6. Step 6: Final answer
    x = 3,405.37

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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.