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Finding the Fourth Proportional to 2,672.40, 3,690.64 and 1,790

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Solution

The fourth proportional to 2,672.40, 3,690.64 and 1,790 is: 2,472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.40 : 3,690.64 = 1,790 : x
  2. Step 2: Convert to fraction form
    2,672.40/3,690.64 = 1,790/x
  3. Step 3: Cross multiply
    2,672.40x = 3,690.64 × 1,790
  4. Step 4: Simplify right side
    2,672.40x = 6,606,245.60
  5. Step 5: Solve for x
    x = 6,606,245.60/2,672.40
  6. Step 6: Final answer
    x = 2,472.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.