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Finding the Fourth Proportional to 2,940.46, 4,411.36 and 860.48

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Solution

The fourth proportional to 2,940.46, 4,411.36 and 860.48 is: 1,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.46 : 4,411.36 = 860.48 : x
  2. Step 2: Convert to fraction form
    2,940.46/4,411.36 = 860.48/x
  3. Step 3: Cross multiply
    2,940.46x = 4,411.36 × 860.48
  4. Step 4: Simplify right side
    2,940.46x = 3,795,887.05
  5. Step 5: Solve for x
    x = 3,795,887.05/2,940.46
  6. Step 6: Final answer
    x = 1,290.92

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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.