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Finding the Fourth Proportional to 8,540.50, 12,804.02 and 3,274.50

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Solution

The fourth proportional to 8,540.50, 12,804.02 and 3,274.50 is: 4,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.50 : 12,804.02 = 3,274.50 : x
  2. Step 2: Convert to fraction form
    8,540.50/12,804.02 = 3,274.50/x
  3. Step 3: Cross multiply
    8,540.50x = 12,804.02 × 3,274.50
  4. Step 4: Simplify right side
    8,540.50x = 41,926,763.49
  5. Step 5: Solve for x
    x = 41,926,763.49/8,540.50
  6. Step 6: Final answer
    x = 4,909.17

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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.