Home / 3,830.25-5,285.75-2,174.25

Finding the Fourth Proportional to 3,830.25, 5,285.75 and 2,174.25

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Solution

The fourth proportional to 3,830.25, 5,285.75 and 2,174.25 is: 3,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.25 : 5,285.75 = 2,174.25 : x
  2. Step 2: Convert to fraction form
    3,830.25/5,285.75 = 2,174.25/x
  3. Step 3: Cross multiply
    3,830.25x = 5,285.75 × 2,174.25
  4. Step 4: Simplify right side
    3,830.25x = 11,492,531.07
  5. Step 5: Solve for x
    x = 11,492,531.07/3,830.25
  6. Step 6: Final answer
    x = 3,000.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.