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Finding the Fourth Proportional to 2,740.84, 3,782.60 and 1,621.22

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Solution

The fourth proportional to 2,740.84, 3,782.60 and 1,621.22 is: 2,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.84 : 3,782.60 = 1,621.22 : x
  2. Step 2: Convert to fraction form
    2,740.84/3,782.60 = 1,621.22/x
  3. Step 3: Cross multiply
    2,740.84x = 3,782.60 × 1,621.22
  4. Step 4: Simplify right side
    2,740.84x = 6,132,405.83
  5. Step 5: Solve for x
    x = 6,132,405.83/2,740.84
  6. Step 6: Final answer
    x = 2,237.42

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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.