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Finding the Fourth Proportional to 2,051.64, 3,077.52 and 512.64

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Solution

The fourth proportional to 2,051.64, 3,077.52 and 512.64 is: 768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.64 : 3,077.52 = 512.64 : x
  2. Step 2: Convert to fraction form
    2,051.64/3,077.52 = 512.64/x
  3. Step 3: Cross multiply
    2,051.64x = 3,077.52 × 512.64
  4. Step 4: Simplify right side
    2,051.64x = 1,577,659.85
  5. Step 5: Solve for x
    x = 1,577,659.85/2,051.64
  6. Step 6: Final answer
    x = 768.97

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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.