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Finding the Fourth Proportional to 3,635.28, 5,452.86 and 899.28

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Solution

The fourth proportional to 3,635.28, 5,452.86 and 899.28 is: 1,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.28 : 5,452.86 = 899.28 : x
  2. Step 2: Convert to fraction form
    3,635.28/5,452.86 = 899.28/x
  3. Step 3: Cross multiply
    3,635.28x = 5,452.86 × 899.28
  4. Step 4: Simplify right side
    3,635.28x = 4,903,647.94
  5. Step 5: Solve for x
    x = 4,903,647.94/3,635.28
  6. Step 6: Final answer
    x = 1,348.91

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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.