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Finding the Fourth Proportional to 2,072.38, 3,107.64 and 611.02

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Solution

The fourth proportional to 2,072.38, 3,107.64 and 611.02 is: 916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.38 : 3,107.64 = 611.02 : x
  2. Step 2: Convert to fraction form
    2,072.38/3,107.64 = 611.02/x
  3. Step 3: Cross multiply
    2,072.38x = 3,107.64 × 611.02
  4. Step 4: Simplify right side
    2,072.38x = 1,898,830.19
  5. Step 5: Solve for x
    x = 1,898,830.19/2,072.38
  6. Step 6: Final answer
    x = 916.26

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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.