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Finding the Fourth Proportional to 2,299.10, 3,450 and 912.57

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Solution

The fourth proportional to 2,299.10, 3,450 and 912.57 is: 1,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.10 : 3,450 = 912.57 : x
  2. Step 2: Convert to fraction form
    2,299.10/3,450 = 912.57/x
  3. Step 3: Cross multiply
    2,299.10x = 3,450 × 912.57
  4. Step 4: Simplify right side
    2,299.10x = 3,148,366.50
  5. Step 5: Solve for x
    x = 3,148,366.50/2,299.10
  6. Step 6: Final answer
    x = 1,369.39

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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.