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Finding the Fourth Proportional to 1,874.80, 2,814.90 and 1,464.40

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Solution

The fourth proportional to 1,874.80, 2,814.90 and 1,464.40 is: 2,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.80 : 2,814.90 = 1,464.40 : x
  2. Step 2: Convert to fraction form
    1,874.80/2,814.90 = 1,464.40/x
  3. Step 3: Cross multiply
    1,874.80x = 2,814.90 × 1,464.40
  4. Step 4: Simplify right side
    1,874.80x = 4,122,139.56
  5. Step 5: Solve for x
    x = 4,122,139.56/1,874.80
  6. Step 6: Final answer
    x = 2,198.71

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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.