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Finding the Fourth Proportional to 5,788.21, 7,987.71 and 3,135.66

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Solution

The fourth proportional to 5,788.21, 7,987.71 and 3,135.66 is: 4,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.21 : 7,987.71 = 3,135.66 : x
  2. Step 2: Convert to fraction form
    5,788.21/7,987.71 = 3,135.66/x
  3. Step 3: Cross multiply
    5,788.21x = 7,987.71 × 3,135.66
  4. Step 4: Simplify right side
    5,788.21x = 25,046,770.55
  5. Step 5: Solve for x
    x = 25,046,770.55/5,788.21
  6. Step 6: Final answer
    x = 4,327.20

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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.