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Finding the Fourth Proportional to 6,446.81, 9,670.22 and 1,829.81

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Solution

The fourth proportional to 6,446.81, 9,670.22 and 1,829.81 is: 2,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.81 : 9,670.22 = 1,829.81 : x
  2. Step 2: Convert to fraction form
    6,446.81/9,670.22 = 1,829.81/x
  3. Step 3: Cross multiply
    6,446.81x = 9,670.22 × 1,829.81
  4. Step 4: Simplify right side
    6,446.81x = 17,694,687.15
  5. Step 5: Solve for x
    x = 17,694,687.15/6,446.81
  6. Step 6: Final answer
    x = 2,744.72

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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.