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Finding the Fourth Proportional to 6,429, 9,643.50 and 1,812

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Solution

The fourth proportional to 6,429, 9,643.50 and 1,812 is: 2,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429 : 9,643.50 = 1,812 : x
  2. Step 2: Convert to fraction form
    6,429/9,643.50 = 1,812/x
  3. Step 3: Cross multiply
    6,429x = 9,643.50 × 1,812
  4. Step 4: Simplify right side
    6,429x = 17,474,022
  5. Step 5: Solve for x
    x = 17,474,022/6,429
  6. Step 6: Final answer
    x = 2,718

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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.