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Finding the Fourth Proportional to 2,064.36, 3,094.50 and 765.48

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Solution

The fourth proportional to 2,064.36, 3,094.50 and 765.48 is: 1,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.36 : 3,094.50 = 765.48 : x
  2. Step 2: Convert to fraction form
    2,064.36/3,094.50 = 765.48/x
  3. Step 3: Cross multiply
    2,064.36x = 3,094.50 × 765.48
  4. Step 4: Simplify right side
    2,064.36x = 2,368,777.86
  5. Step 5: Solve for x
    x = 2,368,777.86/2,064.36
  6. Step 6: Final answer
    x = 1,147.46

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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.