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Finding the Fourth Proportional to 2,180.02, 3,008.69 and 1,295.82

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Solution

The fourth proportional to 2,180.02, 3,008.69 and 1,295.82 is: 1,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.02 : 3,008.69 = 1,295.82 : x
  2. Step 2: Convert to fraction form
    2,180.02/3,008.69 = 1,295.82/x
  3. Step 3: Cross multiply
    2,180.02x = 3,008.69 × 1,295.82
  4. Step 4: Simplify right side
    2,180.02x = 3,898,720.68
  5. Step 5: Solve for x
    x = 3,898,720.68/2,180.02
  6. Step 6: Final answer
    x = 1,788.39

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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.