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Finding the Fourth Proportional to 2,132.88, 3,199.73 and 672.45

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Solution

The fourth proportional to 2,132.88, 3,199.73 and 672.45 is: 1,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.88 : 3,199.73 = 672.45 : x
  2. Step 2: Convert to fraction form
    2,132.88/3,199.73 = 672.45/x
  3. Step 3: Cross multiply
    2,132.88x = 3,199.73 × 672.45
  4. Step 4: Simplify right side
    2,132.88x = 2,151,655.08
  5. Step 5: Solve for x
    x = 2,151,655.08/2,132.88
  6. Step 6: Final answer
    x = 1,008.80

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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.