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Finding the Fourth Proportional to 2,080.76, 2,871.25 and 1,184.63

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Solution

The fourth proportional to 2,080.76, 2,871.25 and 1,184.63 is: 1,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.76 : 2,871.25 = 1,184.63 : x
  2. Step 2: Convert to fraction form
    2,080.76/2,871.25 = 1,184.63/x
  3. Step 3: Cross multiply
    2,080.76x = 2,871.25 × 1,184.63
  4. Step 4: Simplify right side
    2,080.76x = 3,401,351.57
  5. Step 5: Solve for x
    x = 3,401,351.57/2,080.76
  6. Step 6: Final answer
    x = 1,634.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.