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Finding the Fourth Proportional to 3,813.74, 5,721.41 and 1,315.15

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Solution

The fourth proportional to 3,813.74, 5,721.41 and 1,315.15 is: 1,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.74 : 5,721.41 = 1,315.15 : x
  2. Step 2: Convert to fraction form
    3,813.74/5,721.41 = 1,315.15/x
  3. Step 3: Cross multiply
    3,813.74x = 5,721.41 × 1,315.15
  4. Step 4: Simplify right side
    3,813.74x = 7,524,512.36
  5. Step 5: Solve for x
    x = 7,524,512.36/3,813.74
  6. Step 6: Final answer
    x = 1,973.00

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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.