Home / 2,051.12-3,076.76-512.16

Finding the Fourth Proportional to 2,051.12, 3,076.76 and 512.16

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Solution

The fourth proportional to 2,051.12, 3,076.76 and 512.16 is: 768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.12 : 3,076.76 = 512.16 : x
  2. Step 2: Convert to fraction form
    2,051.12/3,076.76 = 512.16/x
  3. Step 3: Cross multiply
    2,051.12x = 3,076.76 × 512.16
  4. Step 4: Simplify right side
    2,051.12x = 1,575,793.40
  5. Step 5: Solve for x
    x = 1,575,793.40/2,051.12
  6. Step 6: Final answer
    x = 768.26

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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.