Home / 1,729.74-2,387.64-1,198.18

Finding the Fourth Proportional to 1,729.74, 2,387.64 and 1,198.18

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Solution

The fourth proportional to 1,729.74, 2,387.64 and 1,198.18 is: 1,653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.74 : 2,387.64 = 1,198.18 : x
  2. Step 2: Convert to fraction form
    1,729.74/2,387.64 = 1,198.18/x
  3. Step 3: Cross multiply
    1,729.74x = 2,387.64 × 1,198.18
  4. Step 4: Simplify right side
    1,729.74x = 2,860,822.50
  5. Step 5: Solve for x
    x = 2,860,822.50/1,729.74
  6. Step 6: Final answer
    x = 1,653.90

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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.