Home / 3,828.48-5,284-2,256.64

Finding the Fourth Proportional to 3,828.48, 5,284 and 2,256.64

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Solution

The fourth proportional to 3,828.48, 5,284 and 2,256.64 is: 3,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.48 : 5,284 = 2,256.64 : x
  2. Step 2: Convert to fraction form
    3,828.48/5,284 = 2,256.64/x
  3. Step 3: Cross multiply
    3,828.48x = 5,284 × 2,256.64
  4. Step 4: Simplify right side
    3,828.48x = 11,924,085.76
  5. Step 5: Solve for x
    x = 11,924,085.76/3,828.48
  6. Step 6: Final answer
    x = 3,114.57

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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.