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Finding the Fourth Proportional to 2,867.94, 4,301.94 and 920.15

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Solution

The fourth proportional to 2,867.94, 4,301.94 and 920.15 is: 1,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.94 : 4,301.94 = 920.15 : x
  2. Step 2: Convert to fraction form
    2,867.94/4,301.94 = 920.15/x
  3. Step 3: Cross multiply
    2,867.94x = 4,301.94 × 920.15
  4. Step 4: Simplify right side
    2,867.94x = 3,958,430.09
  5. Step 5: Solve for x
    x = 3,958,430.09/2,867.94
  6. Step 6: Final answer
    x = 1,380.23

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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.