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Finding the Fourth Proportional to 2,133.52, 3,200.58 and 672.78

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Solution

The fourth proportional to 2,133.52, 3,200.58 and 672.78 is: 1,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.52 : 3,200.58 = 672.78 : x
  2. Step 2: Convert to fraction form
    2,133.52/3,200.58 = 672.78/x
  3. Step 3: Cross multiply
    2,133.52x = 3,200.58 × 672.78
  4. Step 4: Simplify right side
    2,133.52x = 2,153,286.21
  5. Step 5: Solve for x
    x = 2,153,286.21/2,133.52
  6. Step 6: Final answer
    x = 1,009.26

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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.