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Finding the Fourth Proportional to 2,713.81, 3,745.10 and 1,471.81

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Solution

The fourth proportional to 2,713.81, 3,745.10 and 1,471.81 is: 2,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.81 : 3,745.10 = 1,471.81 : x
  2. Step 2: Convert to fraction form
    2,713.81/3,745.10 = 1,471.81/x
  3. Step 3: Cross multiply
    2,713.81x = 3,745.10 × 1,471.81
  4. Step 4: Simplify right side
    2,713.81x = 5,512,075.63
  5. Step 5: Solve for x
    x = 5,512,075.63/2,713.81
  6. Step 6: Final answer
    x = 2,031.12

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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.