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Finding the Fourth Proportional to 3,878.55, 5,817.25 and 1,412.79

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Solution

The fourth proportional to 3,878.55, 5,817.25 and 1,412.79 is: 2,118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.55 : 5,817.25 = 1,412.79 : x
  2. Step 2: Convert to fraction form
    3,878.55/5,817.25 = 1,412.79/x
  3. Step 3: Cross multiply
    3,878.55x = 5,817.25 × 1,412.79
  4. Step 4: Simplify right side
    3,878.55x = 8,218,571.52
  5. Step 5: Solve for x
    x = 8,218,571.52/3,878.55
  6. Step 6: Final answer
    x = 2,118.98

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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.