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Finding the Fourth Proportional to 2,056.94, 3,085.70 and 758.31

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Solution

The fourth proportional to 2,056.94, 3,085.70 and 758.31 is: 1,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.94 : 3,085.70 = 758.31 : x
  2. Step 2: Convert to fraction form
    2,056.94/3,085.70 = 758.31/x
  3. Step 3: Cross multiply
    2,056.94x = 3,085.70 × 758.31
  4. Step 4: Simplify right side
    2,056.94x = 2,339,913.38
  5. Step 5: Solve for x
    x = 2,339,913.38/2,056.94
  6. Step 6: Final answer
    x = 1,137.57

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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.