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Finding the Fourth Proportional to 2,162.69, 3,244.70 and 775.99

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Solution

The fourth proportional to 2,162.69, 3,244.70 and 775.99 is: 1,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.69 : 3,244.70 = 775.99 : x
  2. Step 2: Convert to fraction form
    2,162.69/3,244.70 = 775.99/x
  3. Step 3: Cross multiply
    2,162.69x = 3,244.70 × 775.99
  4. Step 4: Simplify right side
    2,162.69x = 2,517,854.75
  5. Step 5: Solve for x
    x = 2,517,854.75/2,162.69
  6. Step 6: Final answer
    x = 1,164.22

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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.