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Finding the Fourth Proportional to 3,455, 4,771.14 and 2,409.96

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Solution

The fourth proportional to 3,455, 4,771.14 and 2,409.96 is: 3,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455 : 4,771.14 = 2,409.96 : x
  2. Step 2: Convert to fraction form
    3,455/4,771.14 = 2,409.96/x
  3. Step 3: Cross multiply
    3,455x = 4,771.14 × 2,409.96
  4. Step 4: Simplify right side
    3,455x = 11,498,256.55
  5. Step 5: Solve for x
    x = 11,498,256.55/3,455
  6. Step 6: Final answer
    x = 3,328.00

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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.