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Finding the Fourth Proportional to 2,153.34, 3,230.37 and 672.66

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Solution

The fourth proportional to 2,153.34, 3,230.37 and 672.66 is: 1,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.34 : 3,230.37 = 672.66 : x
  2. Step 2: Convert to fraction form
    2,153.34/3,230.37 = 672.66/x
  3. Step 3: Cross multiply
    2,153.34x = 3,230.37 × 672.66
  4. Step 4: Simplify right side
    2,153.34x = 2,172,940.68
  5. Step 5: Solve for x
    x = 2,172,940.68/2,153.34
  6. Step 6: Final answer
    x = 1,009.10

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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.