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Finding the Fourth Proportional to 8,274.81, 12,414.78 and 2,653.32

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Solution

The fourth proportional to 8,274.81, 12,414.78 and 2,653.32 is: 3,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.81 : 12,414.78 = 2,653.32 : x
  2. Step 2: Convert to fraction form
    8,274.81/12,414.78 = 2,653.32/x
  3. Step 3: Cross multiply
    8,274.81x = 12,414.78 × 2,653.32
  4. Step 4: Simplify right side
    8,274.81x = 32,940,384.07
  5. Step 5: Solve for x
    x = 32,940,384.07/8,274.81
  6. Step 6: Final answer
    x = 3,980.80

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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.