Home / 1,980-2,733.84-1,456.80

Finding the Fourth Proportional to 1,980, 2,733.84 and 1,456.80

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Solution

The fourth proportional to 1,980, 2,733.84 and 1,456.80 is: 2,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980 : 2,733.84 = 1,456.80 : x
  2. Step 2: Convert to fraction form
    1,980/2,733.84 = 1,456.80/x
  3. Step 3: Cross multiply
    1,980x = 2,733.84 × 1,456.80
  4. Step 4: Simplify right side
    1,980x = 3,982,658.11
  5. Step 5: Solve for x
    x = 3,982,658.11/1,980
  6. Step 6: Final answer
    x = 2,011.44

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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.