Home / 1,780.41-2,456.82-983.70

Finding the Fourth Proportional to 1,780.41, 2,456.82 and 983.70

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Solution

The fourth proportional to 1,780.41, 2,456.82 and 983.70 is: 1,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.41 : 2,456.82 = 983.70 : x
  2. Step 2: Convert to fraction form
    1,780.41/2,456.82 = 983.70/x
  3. Step 3: Cross multiply
    1,780.41x = 2,456.82 × 983.70
  4. Step 4: Simplify right side
    1,780.41x = 2,416,761.55
  5. Step 5: Solve for x
    x = 2,416,761.55/1,780.41
  6. Step 6: Final answer
    x = 1,357.42

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1.5x scale

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.