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Finding the Fourth Proportional to 2,828.36, 4,242.72 and 880.64

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Solution

The fourth proportional to 2,828.36, 4,242.72 and 880.64 is: 1,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.36 : 4,242.72 = 880.64 : x
  2. Step 2: Convert to fraction form
    2,828.36/4,242.72 = 880.64/x
  3. Step 3: Cross multiply
    2,828.36x = 4,242.72 × 880.64
  4. Step 4: Simplify right side
    2,828.36x = 3,736,308.94
  5. Step 5: Solve for x
    x = 3,736,308.94/2,828.36
  6. Step 6: Final answer
    x = 1,321.02

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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.