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Finding the Fourth Proportional to 2,077, 3,115.50 and 922.72

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Solution

The fourth proportional to 2,077, 3,115.50 and 922.72 is: 1,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077 : 3,115.50 = 922.72 : x
  2. Step 2: Convert to fraction form
    2,077/3,115.50 = 922.72/x
  3. Step 3: Cross multiply
    2,077x = 3,115.50 × 922.72
  4. Step 4: Simplify right side
    2,077x = 2,874,734.16
  5. Step 5: Solve for x
    x = 2,874,734.16/2,077
  6. Step 6: Final answer
    x = 1,384.08

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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.