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Finding the Fourth Proportional to 3,776.88, 5,659.56 and 2,406

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Solution

The fourth proportional to 3,776.88, 5,659.56 and 2,406 is: 3,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.88 : 5,659.56 = 2,406 : x
  2. Step 2: Convert to fraction form
    3,776.88/5,659.56 = 2,406/x
  3. Step 3: Cross multiply
    3,776.88x = 5,659.56 × 2,406
  4. Step 4: Simplify right side
    3,776.88x = 13,616,901.36
  5. Step 5: Solve for x
    x = 13,616,901.36/3,776.88
  6. Step 6: Final answer
    x = 3,605.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.