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Finding the Fourth Proportional to 2,132, 3,199.26 and 899.33

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Solution

The fourth proportional to 2,132, 3,199.26 and 899.33 is: 1,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132 : 3,199.26 = 899.33 : x
  2. Step 2: Convert to fraction form
    2,132/3,199.26 = 899.33/x
  3. Step 3: Cross multiply
    2,132x = 3,199.26 × 899.33
  4. Step 4: Simplify right side
    2,132x = 2,877,190.50
  5. Step 5: Solve for x
    x = 2,877,190.50/2,132
  6. Step 6: Final answer
    x = 1,349.53

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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.