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Finding the Fourth Proportional to 2,857.58, 3,941.29 and 2,459.90

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Solution

The fourth proportional to 2,857.58, 3,941.29 and 2,459.90 is: 3,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.58 : 3,941.29 = 2,459.90 : x
  2. Step 2: Convert to fraction form
    2,857.58/3,941.29 = 2,459.90/x
  3. Step 3: Cross multiply
    2,857.58x = 3,941.29 × 2,459.90
  4. Step 4: Simplify right side
    2,857.58x = 9,695,167.28
  5. Step 5: Solve for x
    x = 9,695,167.28/2,857.58
  6. Step 6: Final answer
    x = 3,392.78

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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.