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Finding the Fourth Proportional to 3,189.16, 4,778.60 and 1,729

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Solution

The fourth proportional to 3,189.16, 4,778.60 and 1,729 is: 2,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.16 : 4,778.60 = 1,729 : x
  2. Step 2: Convert to fraction form
    3,189.16/4,778.60 = 1,729/x
  3. Step 3: Cross multiply
    3,189.16x = 4,778.60 × 1,729
  4. Step 4: Simplify right side
    3,189.16x = 8,262,199.40
  5. Step 5: Solve for x
    x = 8,262,199.40/3,189.16
  6. Step 6: Final answer
    x = 2,590.71

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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.