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Finding the Fourth Proportional to 3,879.76, 5,821.74 and 1,688.50

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Solution

The fourth proportional to 3,879.76, 5,821.74 and 1,688.50 is: 2,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.76 : 5,821.74 = 1,688.50 : x
  2. Step 2: Convert to fraction form
    3,879.76/5,821.74 = 1,688.50/x
  3. Step 3: Cross multiply
    3,879.76x = 5,821.74 × 1,688.50
  4. Step 4: Simplify right side
    3,879.76x = 9,830,007.99
  5. Step 5: Solve for x
    x = 9,830,007.99/3,879.76
  6. Step 6: Final answer
    x = 2,533.66

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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.