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Finding the Fourth Proportional to 5,788.38, 7,987.97 and 3,135.78

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Solution

The fourth proportional to 5,788.38, 7,987.97 and 3,135.78 is: 4,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.38 : 7,987.97 = 3,135.78 : x
  2. Step 2: Convert to fraction form
    5,788.38/7,987.97 = 3,135.78/x
  3. Step 3: Cross multiply
    5,788.38x = 7,987.97 × 3,135.78
  4. Step 4: Simplify right side
    5,788.38x = 25,048,500.89
  5. Step 5: Solve for x
    x = 25,048,500.89/5,788.38
  6. Step 6: Final answer
    x = 4,327.38

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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.