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Finding the Fourth Proportional to 2,940.05, 4,409.99 and 860.11

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Solution

The fourth proportional to 2,940.05, 4,409.99 and 860.11 is: 1,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.05 : 4,409.99 = 860.11 : x
  2. Step 2: Convert to fraction form
    2,940.05/4,409.99 = 860.11/x
  3. Step 3: Cross multiply
    2,940.05x = 4,409.99 × 860.11
  4. Step 4: Simplify right side
    2,940.05x = 3,793,076.50
  5. Step 5: Solve for x
    x = 3,793,076.50/2,940.05
  6. Step 6: Final answer
    x = 1,290.14

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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.