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Finding the Fourth Proportional to 4,650.65, 6,418.10 and 2,661.20

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Solution

The fourth proportional to 4,650.65, 6,418.10 and 2,661.20 is: 3,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.65 : 6,418.10 = 2,661.20 : x
  2. Step 2: Convert to fraction form
    4,650.65/6,418.10 = 2,661.20/x
  3. Step 3: Cross multiply
    4,650.65x = 6,418.10 × 2,661.20
  4. Step 4: Simplify right side
    4,650.65x = 17,079,847.72
  5. Step 5: Solve for x
    x = 17,079,847.72/4,650.65
  6. Step 6: Final answer
    x = 3,672.57

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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.