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Finding the Fourth Proportional to 3,709.77, 5,119.50 and 2,031.19

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Solution

The fourth proportional to 3,709.77, 5,119.50 and 2,031.19 is: 2,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.77 : 5,119.50 = 2,031.19 : x
  2. Step 2: Convert to fraction form
    3,709.77/5,119.50 = 2,031.19/x
  3. Step 3: Cross multiply
    3,709.77x = 5,119.50 × 2,031.19
  4. Step 4: Simplify right side
    3,709.77x = 10,398,679.22
  5. Step 5: Solve for x
    x = 10,398,679.22/3,709.77
  6. Step 6: Final answer
    x = 2,803.05

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1.5x scale

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.