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Finding the Fourth Proportional to 2,940.94, 4,412.08 and 860.86

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Solution

The fourth proportional to 2,940.94, 4,412.08 and 860.86 is: 1,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.94 : 4,412.08 = 860.86 : x
  2. Step 2: Convert to fraction form
    2,940.94/4,412.08 = 860.86/x
  3. Step 3: Cross multiply
    2,940.94x = 4,412.08 × 860.86
  4. Step 4: Simplify right side
    2,940.94x = 3,798,183.19
  5. Step 5: Solve for x
    x = 3,798,183.19/2,940.94
  6. Step 6: Final answer
    x = 1,291.49

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1.5x scale

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.