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Finding the Fourth Proportional to 2,763.68, 4,143.85 and 914.27

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Solution

The fourth proportional to 2,763.68, 4,143.85 and 914.27 is: 1,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.68 : 4,143.85 = 914.27 : x
  2. Step 2: Convert to fraction form
    2,763.68/4,143.85 = 914.27/x
  3. Step 3: Cross multiply
    2,763.68x = 4,143.85 × 914.27
  4. Step 4: Simplify right side
    2,763.68x = 3,788,574.73
  5. Step 5: Solve for x
    x = 3,788,574.73/2,763.68
  6. Step 6: Final answer
    x = 1,370.85

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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.