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Finding the Fourth Proportional to 3,940, 5,433.16 and 2,595.96

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Solution

The fourth proportional to 3,940, 5,433.16 and 2,595.96 is: 3,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940 : 5,433.16 = 2,595.96 : x
  2. Step 2: Convert to fraction form
    3,940/5,433.16 = 2,595.96/x
  3. Step 3: Cross multiply
    3,940x = 5,433.16 × 2,595.96
  4. Step 4: Simplify right side
    3,940x = 14,104,266.03
  5. Step 5: Solve for x
    x = 14,104,266.03/3,940
  6. Step 6: Final answer
    x = 3,579.76

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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.