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Finding the Fourth Proportional to 2,486.64, 3,431.72 and 1,645.88

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Solution

The fourth proportional to 2,486.64, 3,431.72 and 1,645.88 is: 2,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.64 : 3,431.72 = 1,645.88 : x
  2. Step 2: Convert to fraction form
    2,486.64/3,431.72 = 1,645.88/x
  3. Step 3: Cross multiply
    2,486.64x = 3,431.72 × 1,645.88
  4. Step 4: Simplify right side
    2,486.64x = 5,648,199.31
  5. Step 5: Solve for x
    x = 5,648,199.31/2,486.64
  6. Step 6: Final answer
    x = 2,271.42

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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.