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Finding the Fourth Proportional to 8,203.33, 12,295.66 and 7,214.21

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Solution

The fourth proportional to 8,203.33, 12,295.66 and 7,214.21 is: 10,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.33 : 12,295.66 = 7,214.21 : x
  2. Step 2: Convert to fraction form
    8,203.33/12,295.66 = 7,214.21/x
  3. Step 3: Cross multiply
    8,203.33x = 12,295.66 × 7,214.21
  4. Step 4: Simplify right side
    8,203.33x = 88,703,473.33
  5. Step 5: Solve for x
    x = 88,703,473.33/8,203.33
  6. Step 6: Final answer
    x = 10,813.11

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1.5x scale

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.