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Finding the Fourth Proportional to 3,208.28, 4,811.34 and 899.24

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Solution

The fourth proportional to 3,208.28, 4,811.34 and 899.24 is: 1,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.28 : 4,811.34 = 899.24 : x
  2. Step 2: Convert to fraction form
    3,208.28/4,811.34 = 899.24/x
  3. Step 3: Cross multiply
    3,208.28x = 4,811.34 × 899.24
  4. Step 4: Simplify right side
    3,208.28x = 4,326,549.38
  5. Step 5: Solve for x
    x = 4,326,549.38/3,208.28
  6. Step 6: Final answer
    x = 1,348.56

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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.