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Finding the Fourth Proportional to 2,095, 3,142.50 and 727

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Solution

The fourth proportional to 2,095, 3,142.50 and 727 is: 1,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095 : 3,142.50 = 727 : x
  2. Step 2: Convert to fraction form
    2,095/3,142.50 = 727/x
  3. Step 3: Cross multiply
    2,095x = 3,142.50 × 727
  4. Step 4: Simplify right side
    2,095x = 2,284,597.50
  5. Step 5: Solve for x
    x = 2,284,597.50/2,095
  6. Step 6: Final answer
    x = 1,090.50

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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.