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Finding the Fourth Proportional to 2,940.52, 4,411.50 and 1,642.84

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Solution

The fourth proportional to 2,940.52, 4,411.50 and 1,642.84 is: 2,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.52 : 4,411.50 = 1,642.84 : x
  2. Step 2: Convert to fraction form
    2,940.52/4,411.50 = 1,642.84/x
  3. Step 3: Cross multiply
    2,940.52x = 4,411.50 × 1,642.84
  4. Step 4: Simplify right side
    2,940.52x = 7,247,388.66
  5. Step 5: Solve for x
    x = 7,247,388.66/2,940.52
  6. Step 6: Final answer
    x = 2,464.66

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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.