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Finding the Fourth Proportional to 3,912.17, 5,868.72 and 1,315.17

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Solution

The fourth proportional to 3,912.17, 5,868.72 and 1,315.17 is: 1,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.17 : 5,868.72 = 1,315.17 : x
  2. Step 2: Convert to fraction form
    3,912.17/5,868.72 = 1,315.17/x
  3. Step 3: Cross multiply
    3,912.17x = 5,868.72 × 1,315.17
  4. Step 4: Simplify right side
    3,912.17x = 7,718,364.48
  5. Step 5: Solve for x
    x = 7,718,364.48/3,912.17
  6. Step 6: Final answer
    x = 1,972.91

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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.