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Finding the Fourth Proportional to 2,827.94, 4,241.90 and 881.51

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Solution

The fourth proportional to 2,827.94, 4,241.90 and 881.51 is: 1,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.94 : 4,241.90 = 881.51 : x
  2. Step 2: Convert to fraction form
    2,827.94/4,241.90 = 881.51/x
  3. Step 3: Cross multiply
    2,827.94x = 4,241.90 × 881.51
  4. Step 4: Simplify right side
    2,827.94x = 3,739,258.26
  5. Step 5: Solve for x
    x = 3,739,258.26/2,827.94
  6. Step 6: Final answer
    x = 1,322.26

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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.