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Finding the Fourth Proportional to 2,940.69, 4,411.11 and 860.76

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Solution

The fourth proportional to 2,940.69, 4,411.11 and 860.76 is: 1,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.69 : 4,411.11 = 860.76 : x
  2. Step 2: Convert to fraction form
    2,940.69/4,411.11 = 860.76/x
  3. Step 3: Cross multiply
    2,940.69x = 4,411.11 × 860.76
  4. Step 4: Simplify right side
    2,940.69x = 3,796,907.04
  5. Step 5: Solve for x
    x = 3,796,907.04/2,940.69
  6. Step 6: Final answer
    x = 1,291.16

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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.