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Finding the Fourth Proportional to 2,051.85, 3,077.76 and 512.85

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Solution

The fourth proportional to 2,051.85, 3,077.76 and 512.85 is: 769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.85 : 3,077.76 = 512.85 : x
  2. Step 2: Convert to fraction form
    2,051.85/3,077.76 = 512.85/x
  3. Step 3: Cross multiply
    2,051.85x = 3,077.76 × 512.85
  4. Step 4: Simplify right side
    2,051.85x = 1,578,429.22
  5. Step 5: Solve for x
    x = 1,578,429.22/2,051.85
  6. Step 6: Final answer
    x = 769.27

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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.