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Finding the Fourth Proportional to 3,957, 5,461.70 and 2,278.60

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Solution

The fourth proportional to 3,957, 5,461.70 and 2,278.60 is: 3,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957 : 5,461.70 = 2,278.60 : x
  2. Step 2: Convert to fraction form
    3,957/5,461.70 = 2,278.60/x
  3. Step 3: Cross multiply
    3,957x = 5,461.70 × 2,278.60
  4. Step 4: Simplify right side
    3,957x = 12,445,029.62
  5. Step 5: Solve for x
    x = 12,445,029.62/3,957
  6. Step 6: Final answer
    x = 3,145.07

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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.