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Finding the Fourth Proportional to 3,581.34, 4,942.68 and 2,255

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Solution

The fourth proportional to 3,581.34, 4,942.68 and 2,255 is: 3,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.34 : 4,942.68 = 2,255 : x
  2. Step 2: Convert to fraction form
    3,581.34/4,942.68 = 2,255/x
  3. Step 3: Cross multiply
    3,581.34x = 4,942.68 × 2,255
  4. Step 4: Simplify right side
    3,581.34x = 11,145,743.40
  5. Step 5: Solve for x
    x = 11,145,743.40/3,581.34
  6. Step 6: Final answer
    x = 3,112.17

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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.