Home / 1,198.74-1,787.40-1,197.12

Finding the Fourth Proportional to 1,198.74, 1,787.40 and 1,197.12

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Solution

The fourth proportional to 1,198.74, 1,787.40 and 1,197.12 is: 1,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.74 : 1,787.40 = 1,197.12 : x
  2. Step 2: Convert to fraction form
    1,198.74/1,787.40 = 1,197.12/x
  3. Step 3: Cross multiply
    1,198.74x = 1,787.40 × 1,197.12
  4. Step 4: Simplify right side
    1,198.74x = 2,139,732.29
  5. Step 5: Solve for x
    x = 2,139,732.29/1,198.74
  6. Step 6: Final answer
    x = 1,784.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.