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Finding the Fourth Proportional to 6,830.21, 9,422.75 and 3,918.21

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Solution

The fourth proportional to 6,830.21, 9,422.75 and 3,918.21 is: 5,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.21 : 9,422.75 = 3,918.21 : x
  2. Step 2: Convert to fraction form
    6,830.21/9,422.75 = 3,918.21/x
  3. Step 3: Cross multiply
    6,830.21x = 9,422.75 × 3,918.21
  4. Step 4: Simplify right side
    6,830.21x = 36,920,293.69
  5. Step 5: Solve for x
    x = 36,920,293.69/6,830.21
  6. Step 6: Final answer
    x = 5,405.44

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1.5x scale

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.