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Finding the Fourth Proportional to 5,878.68, 8,819.39 and 1,983.07

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Solution

The fourth proportional to 5,878.68, 8,819.39 and 1,983.07 is: 2,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.68 : 8,819.39 = 1,983.07 : x
  2. Step 2: Convert to fraction form
    5,878.68/8,819.39 = 1,983.07/x
  3. Step 3: Cross multiply
    5,878.68x = 8,819.39 × 1,983.07
  4. Step 4: Simplify right side
    5,878.68x = 17,489,467.73
  5. Step 5: Solve for x
    x = 17,489,467.73/5,878.68
  6. Step 6: Final answer
    x = 2,975.07

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1.5x scale

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.