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Finding the Fourth Proportional to 2,054.12, 3,080.94 and 515

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Solution

The fourth proportional to 2,054.12, 3,080.94 and 515 is: 772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.12 : 3,080.94 = 515 : x
  2. Step 2: Convert to fraction form
    2,054.12/3,080.94 = 515/x
  3. Step 3: Cross multiply
    2,054.12x = 3,080.94 × 515
  4. Step 4: Simplify right side
    2,054.12x = 1,586,684.10
  5. Step 5: Solve for x
    x = 1,586,684.10/2,054.12
  6. Step 6: Final answer
    x = 772.44

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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.