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Finding the Fourth Proportional to 2,245.41, 3,367.10 and 783.56

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Solution

The fourth proportional to 2,245.41, 3,367.10 and 783.56 is: 1,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.41 : 3,367.10 = 783.56 : x
  2. Step 2: Convert to fraction form
    2,245.41/3,367.10 = 783.56/x
  3. Step 3: Cross multiply
    2,245.41x = 3,367.10 × 783.56
  4. Step 4: Simplify right side
    2,245.41x = 2,638,335.25
  5. Step 5: Solve for x
    x = 2,638,335.25/2,245.41
  6. Step 6: Final answer
    x = 1,174.99

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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.