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Finding the Fourth Proportional to 8,518.63, 12,782.81 and 3,323.29

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Solution

The fourth proportional to 8,518.63, 12,782.81 and 3,323.29 is: 4,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.63 : 12,782.81 = 3,323.29 : x
  2. Step 2: Convert to fraction form
    8,518.63/12,782.81 = 3,323.29/x
  3. Step 3: Cross multiply
    8,518.63x = 12,782.81 × 3,323.29
  4. Step 4: Simplify right side
    8,518.63x = 42,480,984.64
  5. Step 5: Solve for x
    x = 42,480,984.64/8,518.63
  6. Step 6: Final answer
    x = 4,986.83

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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.