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Finding the Fourth Proportional to 2,315.87, 3,474.46 and 930.18

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Solution

The fourth proportional to 2,315.87, 3,474.46 and 930.18 is: 1,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.87 : 3,474.46 = 930.18 : x
  2. Step 2: Convert to fraction form
    2,315.87/3,474.46 = 930.18/x
  3. Step 3: Cross multiply
    2,315.87x = 3,474.46 × 930.18
  4. Step 4: Simplify right side
    2,315.87x = 3,231,890.01
  5. Step 5: Solve for x
    x = 3,231,890.01/2,315.87
  6. Step 6: Final answer
    x = 1,395.54

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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.