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Finding the Fourth Proportional to 8,212.66, 12,317.95 and 2,290

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Solution

The fourth proportional to 8,212.66, 12,317.95 and 2,290 is: 3,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.66 : 12,317.95 = 2,290 : x
  2. Step 2: Convert to fraction form
    8,212.66/12,317.95 = 2,290/x
  3. Step 3: Cross multiply
    8,212.66x = 12,317.95 × 2,290
  4. Step 4: Simplify right side
    8,212.66x = 28,208,105.50
  5. Step 5: Solve for x
    x = 28,208,105.50/8,212.66
  6. Step 6: Final answer
    x = 3,434.71

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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.