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Finding the Fourth Proportional to 8,290, 12,435 and 2,818

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Solution

The fourth proportional to 8,290, 12,435 and 2,818 is: 4,227

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290 : 12,435 = 2,818 : x
  2. Step 2: Convert to fraction form
    8,290/12,435 = 2,818/x
  3. Step 3: Cross multiply
    8,290x = 12,435 × 2,818
  4. Step 4: Simplify right side
    8,290x = 35,041,830
  5. Step 5: Solve for x
    x = 35,041,830/8,290
  6. Step 6: Final answer
    x = 4,227

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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.