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Finding the Fourth Proportional to 3,344.83, 4,615.78 and 1,832.38

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Solution

The fourth proportional to 3,344.83, 4,615.78 and 1,832.38 is: 2,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.83 : 4,615.78 = 1,832.38 : x
  2. Step 2: Convert to fraction form
    3,344.83/4,615.78 = 1,832.38/x
  3. Step 3: Cross multiply
    3,344.83x = 4,615.78 × 1,832.38
  4. Step 4: Simplify right side
    3,344.83x = 8,457,862.96
  5. Step 5: Solve for x
    x = 8,457,862.96/3,344.83
  6. Step 6: Final answer
    x = 2,528.64

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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.