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Finding the Fourth Proportional to 5,890.78, 8,125 and 4,074.49

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Solution

The fourth proportional to 5,890.78, 8,125 and 4,074.49 is: 5,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.78 : 8,125 = 4,074.49 : x
  2. Step 2: Convert to fraction form
    5,890.78/8,125 = 4,074.49/x
  3. Step 3: Cross multiply
    5,890.78x = 8,125 × 4,074.49
  4. Step 4: Simplify right side
    5,890.78x = 33,105,231.25
  5. Step 5: Solve for x
    x = 33,105,231.25/5,890.78
  6. Step 6: Final answer
    x = 5,619.84

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1.5x scale

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.