Home / 1,780.30-2,456.84-983.67

Finding the Fourth Proportional to 1,780.30, 2,456.84 and 983.67

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Solution

The fourth proportional to 1,780.30, 2,456.84 and 983.67 is: 1,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.30 : 2,456.84 = 983.67 : x
  2. Step 2: Convert to fraction form
    1,780.30/2,456.84 = 983.67/x
  3. Step 3: Cross multiply
    1,780.30x = 2,456.84 × 983.67
  4. Step 4: Simplify right side
    1,780.30x = 2,416,713.57
  5. Step 5: Solve for x
    x = 2,416,713.57/1,780.30
  6. Step 6: Final answer
    x = 1,357.48

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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.