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Finding the Fourth Proportional to 2,722, 3,756.39 and 1,480

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Solution

The fourth proportional to 2,722, 3,756.39 and 1,480 is: 2,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722 : 3,756.39 = 1,480 : x
  2. Step 2: Convert to fraction form
    2,722/3,756.39 = 1,480/x
  3. Step 3: Cross multiply
    2,722x = 3,756.39 × 1,480
  4. Step 4: Simplify right side
    2,722x = 5,559,457.20
  5. Step 5: Solve for x
    x = 5,559,457.20/2,722
  6. Step 6: Final answer
    x = 2,042.42

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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.