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Finding the Fourth Proportional to 3,265.12, 4,897.66 and 799.90

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Solution

The fourth proportional to 3,265.12, 4,897.66 and 799.90 is: 1,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.12 : 4,897.66 = 799.90 : x
  2. Step 2: Convert to fraction form
    3,265.12/4,897.66 = 799.90/x
  3. Step 3: Cross multiply
    3,265.12x = 4,897.66 × 799.90
  4. Step 4: Simplify right side
    3,265.12x = 3,917,634.23
  5. Step 5: Solve for x
    x = 3,917,634.23/3,265.12
  6. Step 6: Final answer
    x = 1,199.85

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1.5x scale

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.