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Finding the Fourth Proportional to 3,673.01, 5,509.49 and 899.73

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Solution

The fourth proportional to 3,673.01, 5,509.49 and 899.73 is: 1,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.01 : 5,509.49 = 899.73 : x
  2. Step 2: Convert to fraction form
    3,673.01/5,509.49 = 899.73/x
  3. Step 3: Cross multiply
    3,673.01x = 5,509.49 × 899.73
  4. Step 4: Simplify right side
    3,673.01x = 4,957,048.94
  5. Step 5: Solve for x
    x = 4,957,048.94/3,673.01
  6. Step 6: Final answer
    x = 1,349.59

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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.