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Finding the Fourth Proportional to 2,542.70, 3,814.17 and 788.91

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Solution

The fourth proportional to 2,542.70, 3,814.17 and 788.91 is: 1,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.70 : 3,814.17 = 788.91 : x
  2. Step 2: Convert to fraction form
    2,542.70/3,814.17 = 788.91/x
  3. Step 3: Cross multiply
    2,542.70x = 3,814.17 × 788.91
  4. Step 4: Simplify right side
    2,542.70x = 3,009,039.81
  5. Step 5: Solve for x
    x = 3,009,039.81/2,542.70
  6. Step 6: Final answer
    x = 1,183.41

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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.