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Finding the Fourth Proportional to 6,468, 9,702.09 and 1,851

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Solution

The fourth proportional to 6,468, 9,702.09 and 1,851 is: 2,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468 : 9,702.09 = 1,851 : x
  2. Step 2: Convert to fraction form
    6,468/9,702.09 = 1,851/x
  3. Step 3: Cross multiply
    6,468x = 9,702.09 × 1,851
  4. Step 4: Simplify right side
    6,468x = 17,958,568.59
  5. Step 5: Solve for x
    x = 17,958,568.59/6,468
  6. Step 6: Final answer
    x = 2,776.53

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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.