Home / 4,228-5,834.64-2,365

Finding the Fourth Proportional to 4,228, 5,834.64 and 2,365

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Solution

The fourth proportional to 4,228, 5,834.64 and 2,365 is: 3,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228 : 5,834.64 = 2,365 : x
  2. Step 2: Convert to fraction form
    4,228/5,834.64 = 2,365/x
  3. Step 3: Cross multiply
    4,228x = 5,834.64 × 2,365
  4. Step 4: Simplify right side
    4,228x = 13,798,923.60
  5. Step 5: Solve for x
    x = 13,798,923.60/4,228
  6. Step 6: Final answer
    x = 3,263.70

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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.