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Finding the Fourth Proportional to 3,188.76, 4,760.99 and 2,991.93

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Solution

The fourth proportional to 3,188.76, 4,760.99 and 2,991.93 is: 4,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.76 : 4,760.99 = 2,991.93 : x
  2. Step 2: Convert to fraction form
    3,188.76/4,760.99 = 2,991.93/x
  3. Step 3: Cross multiply
    3,188.76x = 4,760.99 × 2,991.93
  4. Step 4: Simplify right side
    3,188.76x = 14,244,533.85
  5. Step 5: Solve for x
    x = 14,244,533.85/3,188.76
  6. Step 6: Final answer
    x = 4,467.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.