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Finding the Fourth Proportional to 2,740.98, 3,782.42 and 1,546

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Solution

The fourth proportional to 2,740.98, 3,782.42 and 1,546 is: 2,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.98 : 3,782.42 = 1,546 : x
  2. Step 2: Convert to fraction form
    2,740.98/3,782.42 = 1,546/x
  3. Step 3: Cross multiply
    2,740.98x = 3,782.42 × 1,546
  4. Step 4: Simplify right side
    2,740.98x = 5,847,621.32
  5. Step 5: Solve for x
    x = 5,847,621.32/2,740.98
  6. Step 6: Final answer
    x = 2,133.41

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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.