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Finding the Fourth Proportional to 5,555, 7,665.98 and 3,071

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Solution

The fourth proportional to 5,555, 7,665.98 and 3,071 is: 4,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,555 : 7,665.98 = 3,071 : x
  2. Step 2: Convert to fraction form
    5,555/7,665.98 = 3,071/x
  3. Step 3: Cross multiply
    5,555x = 7,665.98 × 3,071
  4. Step 4: Simplify right side
    5,555x = 23,542,224.58
  5. Step 5: Solve for x
    x = 23,542,224.58/5,555
  6. Step 6: Final answer
    x = 4,238.02

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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.