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Finding the Fourth Proportional to 2,052.66, 3,078.78 and 513.66

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Solution

The fourth proportional to 2,052.66, 3,078.78 and 513.66 is: 770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.66 : 3,078.78 = 513.66 : x
  2. Step 2: Convert to fraction form
    2,052.66/3,078.78 = 513.66/x
  3. Step 3: Cross multiply
    2,052.66x = 3,078.78 × 513.66
  4. Step 4: Simplify right side
    2,052.66x = 1,581,446.13
  5. Step 5: Solve for x
    x = 1,581,446.13/2,052.66
  6. Step 6: Final answer
    x = 770.44

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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.