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Finding the Fourth Proportional to 4,540.38, 6,810.38 and 1,253.39

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Solution

The fourth proportional to 4,540.38, 6,810.38 and 1,253.39 is: 1,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.38 : 6,810.38 = 1,253.39 : x
  2. Step 2: Convert to fraction form
    4,540.38/6,810.38 = 1,253.39/x
  3. Step 3: Cross multiply
    4,540.38x = 6,810.38 × 1,253.39
  4. Step 4: Simplify right side
    4,540.38x = 8,536,021.87
  5. Step 5: Solve for x
    x = 8,536,021.87/4,540.38
  6. Step 6: Final answer
    x = 1,880.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.