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Finding the Fourth Proportional to 3,912.31, 5,869.83 and 1,315.24

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Solution

The fourth proportional to 3,912.31, 5,869.83 and 1,315.24 is: 1,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.31 : 5,869.83 = 1,315.24 : x
  2. Step 2: Convert to fraction form
    3,912.31/5,869.83 = 1,315.24/x
  3. Step 3: Cross multiply
    3,912.31x = 5,869.83 × 1,315.24
  4. Step 4: Simplify right side
    3,912.31x = 7,720,235.21
  5. Step 5: Solve for x
    x = 7,720,235.21/3,912.31
  6. Step 6: Final answer
    x = 1,973.32

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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.