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Finding the Fourth Proportional to 2,090.63, 3,137.38 and 722.63

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Solution

The fourth proportional to 2,090.63, 3,137.38 and 722.63 is: 1,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.63 : 3,137.38 = 722.63 : x
  2. Step 2: Convert to fraction form
    2,090.63/3,137.38 = 722.63/x
  3. Step 3: Cross multiply
    2,090.63x = 3,137.38 × 722.63
  4. Step 4: Simplify right side
    2,090.63x = 2,267,164.91
  5. Step 5: Solve for x
    x = 2,267,164.91/2,090.63
  6. Step 6: Final answer
    x = 1,084.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.