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Finding the Fourth Proportional to 3,455, 4,768.11 and 1,962.98

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Solution

The fourth proportional to 3,455, 4,768.11 and 1,962.98 is: 2,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455 : 4,768.11 = 1,962.98 : x
  2. Step 2: Convert to fraction form
    3,455/4,768.11 = 1,962.98/x
  3. Step 3: Cross multiply
    3,455x = 4,768.11 × 1,962.98
  4. Step 4: Simplify right side
    3,455x = 9,359,694.75
  5. Step 5: Solve for x
    x = 9,359,694.75/3,455
  6. Step 6: Final answer
    x = 2,709.03

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1.5x scale

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.