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Finding the Fourth Proportional to 1,891.62, 2,612.85 and 1,454.94

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Solution

The fourth proportional to 1,891.62, 2,612.85 and 1,454.94 is: 2,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.62 : 2,612.85 = 1,454.94 : x
  2. Step 2: Convert to fraction form
    1,891.62/2,612.85 = 1,454.94/x
  3. Step 3: Cross multiply
    1,891.62x = 2,612.85 × 1,454.94
  4. Step 4: Simplify right side
    1,891.62x = 3,801,539.98
  5. Step 5: Solve for x
    x = 3,801,539.98/1,891.62
  6. Step 6: Final answer
    x = 2,009.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.