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Finding the Fourth Proportional to 2,049.35, 3,074.02 and 510.35

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Solution

The fourth proportional to 2,049.35, 3,074.02 and 510.35 is: 765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.35 : 3,074.02 = 510.35 : x
  2. Step 2: Convert to fraction form
    2,049.35/3,074.02 = 510.35/x
  3. Step 3: Cross multiply
    2,049.35x = 3,074.02 × 510.35
  4. Step 4: Simplify right side
    2,049.35x = 1,568,826.11
  5. Step 5: Solve for x
    x = 1,568,826.11/2,049.35
  6. Step 6: Final answer
    x = 765.52

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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.