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Finding the Fourth Proportional to 1,890.67, 2,836.77 and 916.67

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Solution

The fourth proportional to 1,890.67, 2,836.77 and 916.67 is: 1,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.67 : 2,836.77 = 916.67 : x
  2. Step 2: Convert to fraction form
    1,890.67/2,836.77 = 916.67/x
  3. Step 3: Cross multiply
    1,890.67x = 2,836.77 × 916.67
  4. Step 4: Simplify right side
    1,890.67x = 2,600,377.37
  5. Step 5: Solve for x
    x = 2,600,377.37/1,890.67
  6. Step 6: Final answer
    x = 1,375.37

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1.5x scale

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.