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Finding the Fourth Proportional to 2,657.82, 3,985.41 and 1,604.72

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Solution

The fourth proportional to 2,657.82, 3,985.41 and 1,604.72 is: 2,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.82 : 3,985.41 = 1,604.72 : x
  2. Step 2: Convert to fraction form
    2,657.82/3,985.41 = 1,604.72/x
  3. Step 3: Cross multiply
    2,657.82x = 3,985.41 × 1,604.72
  4. Step 4: Simplify right side
    2,657.82x = 6,395,467.14
  5. Step 5: Solve for x
    x = 6,395,467.14/2,657.82
  6. Step 6: Final answer
    x = 2,406.28

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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.