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Finding the Fourth Proportional to 2,274.40, 3,409.17 and 1,624.78

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Solution

The fourth proportional to 2,274.40, 3,409.17 and 1,624.78 is: 2,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.40 : 3,409.17 = 1,624.78 : x
  2. Step 2: Convert to fraction form
    2,274.40/3,409.17 = 1,624.78/x
  3. Step 3: Cross multiply
    2,274.40x = 3,409.17 × 1,624.78
  4. Step 4: Simplify right side
    2,274.40x = 5,539,151.23
  5. Step 5: Solve for x
    x = 5,539,151.23/2,274.40
  6. Step 6: Final answer
    x = 2,435.43

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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.