Home / 1,780.33-2,456.84-983.71

Finding the Fourth Proportional to 1,780.33, 2,456.84 and 983.71

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Solution

The fourth proportional to 1,780.33, 2,456.84 and 983.71 is: 1,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.33 : 2,456.84 = 983.71 : x
  2. Step 2: Convert to fraction form
    1,780.33/2,456.84 = 983.71/x
  3. Step 3: Cross multiply
    1,780.33x = 2,456.84 × 983.71
  4. Step 4: Simplify right side
    1,780.33x = 2,416,805.79
  5. Step 5: Solve for x
    x = 2,416,805.79/1,780.33
  6. Step 6: Final answer
    x = 1,357.51

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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.