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Finding the Fourth Proportional to 8,284.80, 11,427.30 and 6,918.30

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Solution

The fourth proportional to 8,284.80, 11,427.30 and 6,918.30 is: 9,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.80 : 11,427.30 = 6,918.30 : x
  2. Step 2: Convert to fraction form
    8,284.80/11,427.30 = 6,918.30/x
  3. Step 3: Cross multiply
    8,284.80x = 11,427.30 × 6,918.30
  4. Step 4: Simplify right side
    8,284.80x = 79,057,489.59
  5. Step 5: Solve for x
    x = 79,057,489.59/8,284.80
  6. Step 6: Final answer
    x = 9,542.47

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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.