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Finding the Fourth Proportional to 2,133.43, 3,200.15 and 672.70

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Solution

The fourth proportional to 2,133.43, 3,200.15 and 672.70 is: 1,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.43 : 3,200.15 = 672.70 : x
  2. Step 2: Convert to fraction form
    2,133.43/3,200.15 = 672.70/x
  3. Step 3: Cross multiply
    2,133.43x = 3,200.15 × 672.70
  4. Step 4: Simplify right side
    2,133.43x = 2,152,740.91
  5. Step 5: Solve for x
    x = 2,152,740.91/2,133.43
  6. Step 6: Final answer
    x = 1,009.05

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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.