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Finding the Fourth Proportional to 2,049.54, 3,074.31 and 510.54

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Solution

The fourth proportional to 2,049.54, 3,074.31 and 510.54 is: 765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.54 : 3,074.31 = 510.54 : x
  2. Step 2: Convert to fraction form
    2,049.54/3,074.31 = 510.54/x
  3. Step 3: Cross multiply
    2,049.54x = 3,074.31 × 510.54
  4. Step 4: Simplify right side
    2,049.54x = 1,569,558.23
  5. Step 5: Solve for x
    x = 1,569,558.23/2,049.54
  6. Step 6: Final answer
    x = 765.81

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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.