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Finding the Fourth Proportional to 3,086.70, 4,629.77 and 865.74

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Solution

The fourth proportional to 3,086.70, 4,629.77 and 865.74 is: 1,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.70 : 4,629.77 = 865.74 : x
  2. Step 2: Convert to fraction form
    3,086.70/4,629.77 = 865.74/x
  3. Step 3: Cross multiply
    3,086.70x = 4,629.77 × 865.74
  4. Step 4: Simplify right side
    3,086.70x = 4,008,172.75
  5. Step 5: Solve for x
    x = 4,008,172.75/3,086.70
  6. Step 6: Final answer
    x = 1,298.53

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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.