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Finding the Fourth Proportional to 3,977.82, 5,489.90 and 2,405.93

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Solution

The fourth proportional to 3,977.82, 5,489.90 and 2,405.93 is: 3,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.82 : 5,489.90 = 2,405.93 : x
  2. Step 2: Convert to fraction form
    3,977.82/5,489.90 = 2,405.93/x
  3. Step 3: Cross multiply
    3,977.82x = 5,489.90 × 2,405.93
  4. Step 4: Simplify right side
    3,977.82x = 13,208,275.63
  5. Step 5: Solve for x
    x = 13,208,275.63/3,977.82
  6. Step 6: Final answer
    x = 3,320.48

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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.