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Finding the Fourth Proportional to 3,481.89, 4,807.26 and 2,157

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Solution

The fourth proportional to 3,481.89, 4,807.26 and 2,157 is: 2,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.89 : 4,807.26 = 2,157 : x
  2. Step 2: Convert to fraction form
    3,481.89/4,807.26 = 2,157/x
  3. Step 3: Cross multiply
    3,481.89x = 4,807.26 × 2,157
  4. Step 4: Simplify right side
    3,481.89x = 10,369,259.82
  5. Step 5: Solve for x
    x = 10,369,259.82/3,481.89
  6. Step 6: Final answer
    x = 2,978.05

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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.