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Finding the Fourth Proportional to 2,132.79, 3,199.20 and 816.24

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Solution

The fourth proportional to 2,132.79, 3,199.20 and 816.24 is: 1,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.79 : 3,199.20 = 816.24 : x
  2. Step 2: Convert to fraction form
    2,132.79/3,199.20 = 816.24/x
  3. Step 3: Cross multiply
    2,132.79x = 3,199.20 × 816.24
  4. Step 4: Simplify right side
    2,132.79x = 2,611,315.01
  5. Step 5: Solve for x
    x = 2,611,315.01/2,132.79
  6. Step 6: Final answer
    x = 1,224.37

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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.