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Finding the Fourth Proportional to 2,584.67, 3,874.70 and 1,267.70

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Solution

The fourth proportional to 2,584.67, 3,874.70 and 1,267.70 is: 1,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.67 : 3,874.70 = 1,267.70 : x
  2. Step 2: Convert to fraction form
    2,584.67/3,874.70 = 1,267.70/x
  3. Step 3: Cross multiply
    2,584.67x = 3,874.70 × 1,267.70
  4. Step 4: Simplify right side
    2,584.67x = 4,911,931.48
  5. Step 5: Solve for x
    x = 4,911,931.48/2,584.67
  6. Step 6: Final answer
    x = 1,900.41

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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.