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Finding the Fourth Proportional to 6,162.80, 9,245.91 and 1,780.70

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Solution

The fourth proportional to 6,162.80, 9,245.91 and 1,780.70 is: 2,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.80 : 9,245.91 = 1,780.70 : x
  2. Step 2: Convert to fraction form
    6,162.80/9,245.91 = 1,780.70/x
  3. Step 3: Cross multiply
    6,162.80x = 9,245.91 × 1,780.70
  4. Step 4: Simplify right side
    6,162.80x = 16,464,191.94
  5. Step 5: Solve for x
    x = 16,464,191.94/6,162.80
  6. Step 6: Final answer
    x = 2,671.54

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1.5x scale

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.