Home / 2,001.80-3,001.78-1,297.86

Finding the Fourth Proportional to 2,001.80, 3,001.78 and 1,297.86

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Solution

The fourth proportional to 2,001.80, 3,001.78 and 1,297.86 is: 1,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.80 : 3,001.78 = 1,297.86 : x
  2. Step 2: Convert to fraction form
    2,001.80/3,001.78 = 1,297.86/x
  3. Step 3: Cross multiply
    2,001.80x = 3,001.78 × 1,297.86
  4. Step 4: Simplify right side
    2,001.80x = 3,895,890.19
  5. Step 5: Solve for x
    x = 3,895,890.19/2,001.80
  6. Step 6: Final answer
    x = 1,946.19

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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.