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Finding the Fourth Proportional to 2,722, 3,756.70 and 1,618

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Solution

The fourth proportional to 2,722, 3,756.70 and 1,618 is: 2,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722 : 3,756.70 = 1,618 : x
  2. Step 2: Convert to fraction form
    2,722/3,756.70 = 1,618/x
  3. Step 3: Cross multiply
    2,722x = 3,756.70 × 1,618
  4. Step 4: Simplify right side
    2,722x = 6,078,340.60
  5. Step 5: Solve for x
    x = 6,078,340.60/2,722
  6. Step 6: Final answer
    x = 2,233.04

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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.