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Finding the Fourth Proportional to 2,824.69, 4,237.03 and 772.69

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Solution

The fourth proportional to 2,824.69, 4,237.03 and 772.69 is: 1,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.69 : 4,237.03 = 772.69 : x
  2. Step 2: Convert to fraction form
    2,824.69/4,237.03 = 772.69/x
  3. Step 3: Cross multiply
    2,824.69x = 4,237.03 × 772.69
  4. Step 4: Simplify right side
    2,824.69x = 3,273,902.05
  5. Step 5: Solve for x
    x = 3,273,902.05/2,824.69
  6. Step 6: Final answer
    x = 1,159.03

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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.