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Finding the Fourth Proportional to 3,586.28, 4,949.10 and 2,169.99

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Solution

The fourth proportional to 3,586.28, 4,949.10 and 2,169.99 is: 2,994.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.28 : 4,949.10 = 2,169.99 : x
  2. Step 2: Convert to fraction form
    3,586.28/4,949.10 = 2,169.99/x
  3. Step 3: Cross multiply
    3,586.28x = 4,949.10 × 2,169.99
  4. Step 4: Simplify right side
    3,586.28x = 10,739,497.51
  5. Step 5: Solve for x
    x = 10,739,497.51/3,586.28
  6. Step 6: Final answer
    x = 2,994.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.