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Finding the Fourth Proportional to 6,818.40, 10,213.02 and 4,213.44

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Solution

The fourth proportional to 6,818.40, 10,213.02 and 4,213.44 is: 6,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.40 : 10,213.02 = 4,213.44 : x
  2. Step 2: Convert to fraction form
    6,818.40/10,213.02 = 4,213.44/x
  3. Step 3: Cross multiply
    6,818.40x = 10,213.02 × 4,213.44
  4. Step 4: Simplify right side
    6,818.40x = 43,031,946.99
  5. Step 5: Solve for x
    x = 43,031,946.99/6,818.40
  6. Step 6: Final answer
    x = 6,311.15

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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.