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Finding the Fourth Proportional to 2,064.39, 3,096.62 and 765.87

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Solution

The fourth proportional to 2,064.39, 3,096.62 and 765.87 is: 1,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.39 : 3,096.62 = 765.87 : x
  2. Step 2: Convert to fraction form
    2,064.39/3,096.62 = 765.87/x
  3. Step 3: Cross multiply
    2,064.39x = 3,096.62 × 765.87
  4. Step 4: Simplify right side
    2,064.39x = 2,371,608.36
  5. Step 5: Solve for x
    x = 2,371,608.36/2,064.39
  6. Step 6: Final answer
    x = 1,148.82

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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.