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Finding the Fourth Proportional to 4,415.63, 6,623.44 and 1,639.08

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Solution

The fourth proportional to 4,415.63, 6,623.44 and 1,639.08 is: 2,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.63 : 6,623.44 = 1,639.08 : x
  2. Step 2: Convert to fraction form
    4,415.63/6,623.44 = 1,639.08/x
  3. Step 3: Cross multiply
    4,415.63x = 6,623.44 × 1,639.08
  4. Step 4: Simplify right side
    4,415.63x = 10,856,343.94
  5. Step 5: Solve for x
    x = 10,856,343.94/4,415.63
  6. Step 6: Final answer
    x = 2,458.62

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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.