Home / 2,649.24-3,972.06-1,187.64

Finding the Fourth Proportional to 2,649.24, 3,972.06 and 1,187.64

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Solution

The fourth proportional to 2,649.24, 3,972.06 and 1,187.64 is: 1,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.24 : 3,972.06 = 1,187.64 : x
  2. Step 2: Convert to fraction form
    2,649.24/3,972.06 = 1,187.64/x
  3. Step 3: Cross multiply
    2,649.24x = 3,972.06 × 1,187.64
  4. Step 4: Simplify right side
    2,649.24x = 4,717,377.34
  5. Step 5: Solve for x
    x = 4,717,377.34/2,649.24
  6. Step 6: Final answer
    x = 1,780.65

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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.