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Finding the Fourth Proportional to 2,827.72, 4,241.58 and 880.04

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Solution

The fourth proportional to 2,827.72, 4,241.58 and 880.04 is: 1,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.72 : 4,241.58 = 880.04 : x
  2. Step 2: Convert to fraction form
    2,827.72/4,241.58 = 880.04/x
  3. Step 3: Cross multiply
    2,827.72x = 4,241.58 × 880.04
  4. Step 4: Simplify right side
    2,827.72x = 3,732,760.06
  5. Step 5: Solve for x
    x = 3,732,760.06/2,827.72
  6. Step 6: Final answer
    x = 1,320.06

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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.