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Finding the Fourth Proportional to 2,660, 3,671.80 and 1,775.48

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Solution

The fourth proportional to 2,660, 3,671.80 and 1,775.48 is: 2,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660 : 3,671.80 = 1,775.48 : x
  2. Step 2: Convert to fraction form
    2,660/3,671.80 = 1,775.48/x
  3. Step 3: Cross multiply
    2,660x = 3,671.80 × 1,775.48
  4. Step 4: Simplify right side
    2,660x = 6,519,207.46
  5. Step 5: Solve for x
    x = 6,519,207.46/2,660
  6. Step 6: Final answer
    x = 2,450.83

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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.