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Finding the Fourth Proportional to 2,105.12, 3,157.77 and 788.74

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Solution

The fourth proportional to 2,105.12, 3,157.77 and 788.74 is: 1,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.12 : 3,157.77 = 788.74 : x
  2. Step 2: Convert to fraction form
    2,105.12/3,157.77 = 788.74/x
  3. Step 3: Cross multiply
    2,105.12x = 3,157.77 × 788.74
  4. Step 4: Simplify right side
    2,105.12x = 2,490,650.14
  5. Step 5: Solve for x
    x = 2,490,650.14/2,105.12
  6. Step 6: Final answer
    x = 1,183.14

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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.