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Finding the Fourth Proportional to 2,955, 4,426.83 and 2,783.43

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Solution

The fourth proportional to 2,955, 4,426.83 and 2,783.43 is: 4,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955 : 4,426.83 = 2,783.43 : x
  2. Step 2: Convert to fraction form
    2,955/4,426.83 = 2,783.43/x
  3. Step 3: Cross multiply
    2,955x = 4,426.83 × 2,783.43
  4. Step 4: Simplify right side
    2,955x = 12,321,771.43
  5. Step 5: Solve for x
    x = 12,321,771.43/2,955
  6. Step 6: Final answer
    x = 4,169.80

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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.