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Finding the Fourth Proportional to 8,203.70, 12,311.98 and 5,722.38

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Solution

The fourth proportional to 8,203.70, 12,311.98 and 5,722.38 is: 8,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.70 : 12,311.98 = 5,722.38 : x
  2. Step 2: Convert to fraction form
    8,203.70/12,311.98 = 5,722.38/x
  3. Step 3: Cross multiply
    8,203.70x = 12,311.98 × 5,722.38
  4. Step 4: Simplify right side
    8,203.70x = 70,453,813.81
  5. Step 5: Solve for x
    x = 70,453,813.81/8,203.70
  6. Step 6: Final answer
    x = 8,588.05

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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.