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Finding the Fourth Proportional to 6,814.60, 10,217.10 and 3,118.60

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Solution

The fourth proportional to 6,814.60, 10,217.10 and 3,118.60 is: 4,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.60 : 10,217.10 = 3,118.60 : x
  2. Step 2: Convert to fraction form
    6,814.60/10,217.10 = 3,118.60/x
  3. Step 3: Cross multiply
    6,814.60x = 10,217.10 × 3,118.60
  4. Step 4: Simplify right side
    6,814.60x = 31,863,048.06
  5. Step 5: Solve for x
    x = 31,863,048.06/6,814.60
  6. Step 6: Final answer
    x = 4,675.70

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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.