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Finding the Fourth Proportional to 8,491.02, 12,740.30 and 3,297.30

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Solution

The fourth proportional to 8,491.02, 12,740.30 and 3,297.30 is: 4,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.02 : 12,740.30 = 3,297.30 : x
  2. Step 2: Convert to fraction form
    8,491.02/12,740.30 = 3,297.30/x
  3. Step 3: Cross multiply
    8,491.02x = 12,740.30 × 3,297.30
  4. Step 4: Simplify right side
    8,491.02x = 42,008,591.19
  5. Step 5: Solve for x
    x = 42,008,591.19/8,491.02
  6. Step 6: Final answer
    x = 4,947.41

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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.