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Finding the Fourth Proportional to 3,546, 4,894.07 and 2,149.56

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Solution

The fourth proportional to 3,546, 4,894.07 and 2,149.56 is: 2,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546 : 4,894.07 = 2,149.56 : x
  2. Step 2: Convert to fraction form
    3,546/4,894.07 = 2,149.56/x
  3. Step 3: Cross multiply
    3,546x = 4,894.07 × 2,149.56
  4. Step 4: Simplify right side
    3,546x = 10,520,086.36
  5. Step 5: Solve for x
    x = 10,520,086.36/3,546
  6. Step 6: Final answer
    x = 2,966.75

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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.