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Finding the Fourth Proportional to 5,315.52, 7,976.72 and 2,819

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Solution

The fourth proportional to 5,315.52, 7,976.72 and 2,819 is: 4,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.52 : 7,976.72 = 2,819 : x
  2. Step 2: Convert to fraction form
    5,315.52/7,976.72 = 2,819/x
  3. Step 3: Cross multiply
    5,315.52x = 7,976.72 × 2,819
  4. Step 4: Simplify right side
    5,315.52x = 22,486,373.68
  5. Step 5: Solve for x
    x = 22,486,373.68/5,315.52
  6. Step 6: Final answer
    x = 4,230.32

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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.