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Finding the Fourth Proportional to 6,818.70, 10,219.14 and 6,646.98

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Solution

The fourth proportional to 6,818.70, 10,219.14 and 6,646.98 is: 9,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.70 : 10,219.14 = 6,646.98 : x
  2. Step 2: Convert to fraction form
    6,818.70/10,219.14 = 6,646.98/x
  3. Step 3: Cross multiply
    6,818.70x = 10,219.14 × 6,646.98
  4. Step 4: Simplify right side
    6,818.70x = 67,926,419.20
  5. Step 5: Solve for x
    x = 67,926,419.20/6,818.70
  6. Step 6: Final answer
    x = 9,961.78

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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.