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Finding the Fourth Proportional to 12,203.70, 18,310.86 and 4,813.54

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Solution

The fourth proportional to 12,203.70, 18,310.86 and 4,813.54 is: 7,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.70 : 18,310.86 = 4,813.54 : x
  2. Step 2: Convert to fraction form
    12,203.70/18,310.86 = 4,813.54/x
  3. Step 3: Cross multiply
    12,203.70x = 18,310.86 × 4,813.54
  4. Step 4: Simplify right side
    12,203.70x = 88,140,057.04
  5. Step 5: Solve for x
    x = 88,140,057.04/12,203.70
  6. Step 6: Final answer
    x = 7,222.40

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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.