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Finding the Fourth Proportional to 3,709.90, 5,119.72 and 2,031.28

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Solution

The fourth proportional to 3,709.90, 5,119.72 and 2,031.28 is: 2,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.90 : 5,119.72 = 2,031.28 : x
  2. Step 2: Convert to fraction form
    3,709.90/5,119.72 = 2,031.28/x
  3. Step 3: Cross multiply
    3,709.90x = 5,119.72 × 2,031.28
  4. Step 4: Simplify right side
    3,709.90x = 10,399,566.96
  5. Step 5: Solve for x
    x = 10,399,566.96/3,709.90
  6. Step 6: Final answer
    x = 2,803.20

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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.