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Finding the Fourth Proportional to 2,840.94, 4,255.47 and 2,290.14

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Solution

The fourth proportional to 2,840.94, 4,255.47 and 2,290.14 is: 3,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.94 : 4,255.47 = 2,290.14 : x
  2. Step 2: Convert to fraction form
    2,840.94/4,255.47 = 2,290.14/x
  3. Step 3: Cross multiply
    2,840.94x = 4,255.47 × 2,290.14
  4. Step 4: Simplify right side
    2,840.94x = 9,745,622.07
  5. Step 5: Solve for x
    x = 9,745,622.07/2,840.94
  6. Step 6: Final answer
    x = 3,430.42

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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.