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Finding the Fourth Proportional to 2,049.12, 3,073.76 and 510.16

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Solution

The fourth proportional to 2,049.12, 3,073.76 and 510.16 is: 765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.12 : 3,073.76 = 510.16 : x
  2. Step 2: Convert to fraction form
    2,049.12/3,073.76 = 510.16/x
  3. Step 3: Cross multiply
    2,049.12x = 3,073.76 × 510.16
  4. Step 4: Simplify right side
    2,049.12x = 1,568,109.40
  5. Step 5: Solve for x
    x = 1,568,109.40/2,049.12
  6. Step 6: Final answer
    x = 765.26

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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.