Home / 3,546-4,890.72-2,287.26

Finding the Fourth Proportional to 3,546, 4,890.72 and 2,287.26

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Solution

The fourth proportional to 3,546, 4,890.72 and 2,287.26 is: 3,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546 : 4,890.72 = 2,287.26 : x
  2. Step 2: Convert to fraction form
    3,546/4,890.72 = 2,287.26/x
  3. Step 3: Cross multiply
    3,546x = 4,890.72 × 2,287.26
  4. Step 4: Simplify right side
    3,546x = 11,186,348.23
  5. Step 5: Solve for x
    x = 11,186,348.23/3,546
  6. Step 6: Final answer
    x = 3,154.64

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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.