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Finding the Fourth Proportional to 4,644.74, 6,409.86 and 2,628

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Solution

The fourth proportional to 4,644.74, 6,409.86 and 2,628 is: 3,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.74 : 6,409.86 = 2,628 : x
  2. Step 2: Convert to fraction form
    4,644.74/6,409.86 = 2,628/x
  3. Step 3: Cross multiply
    4,644.74x = 6,409.86 × 2,628
  4. Step 4: Simplify right side
    4,644.74x = 16,845,112.08
  5. Step 5: Solve for x
    x = 16,845,112.08/4,644.74
  6. Step 6: Final answer
    x = 3,626.71

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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.