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Finding the Fourth Proportional to 4,077, 6,115.56 and 999

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Solution

The fourth proportional to 4,077, 6,115.56 and 999 is: 1,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077 : 6,115.56 = 999 : x
  2. Step 2: Convert to fraction form
    4,077/6,115.56 = 999/x
  3. Step 3: Cross multiply
    4,077x = 6,115.56 × 999
  4. Step 4: Simplify right side
    4,077x = 6,109,444.44
  5. Step 5: Solve for x
    x = 6,109,444.44/4,077
  6. Step 6: Final answer
    x = 1,498.51

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Double scale
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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.