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Finding the Fourth Proportional to 2,886.12, 3,986.16 and 1,940.40

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Solution

The fourth proportional to 2,886.12, 3,986.16 and 1,940.40 is: 2,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.12 : 3,986.16 = 1,940.40 : x
  2. Step 2: Convert to fraction form
    2,886.12/3,986.16 = 1,940.40/x
  3. Step 3: Cross multiply
    2,886.12x = 3,986.16 × 1,940.40
  4. Step 4: Simplify right side
    2,886.12x = 7,734,744.86
  5. Step 5: Solve for x
    x = 7,734,744.86/2,886.12
  6. Step 6: Final answer
    x = 2,679.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.