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Finding the Fourth Proportional to 3,179.91, 4,772.49 and 1,621.06

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Solution

The fourth proportional to 3,179.91, 4,772.49 and 1,621.06 is: 2,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.91 : 4,772.49 = 1,621.06 : x
  2. Step 2: Convert to fraction form
    3,179.91/4,772.49 = 1,621.06/x
  3. Step 3: Cross multiply
    3,179.91x = 4,772.49 × 1,621.06
  4. Step 4: Simplify right side
    3,179.91x = 7,736,492.64
  5. Step 5: Solve for x
    x = 7,736,492.64/3,179.91
  6. Step 6: Final answer
    x = 2,432.93

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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.