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Finding the Fourth Proportional to 5,879.60, 8,819.85 and 1,984

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Solution

The fourth proportional to 5,879.60, 8,819.85 and 1,984 is: 2,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.60 : 8,819.85 = 1,984 : x
  2. Step 2: Convert to fraction form
    5,879.60/8,819.85 = 1,984/x
  3. Step 3: Cross multiply
    5,879.60x = 8,819.85 × 1,984
  4. Step 4: Simplify right side
    5,879.60x = 17,498,582.40
  5. Step 5: Solve for x
    x = 17,498,582.40/5,879.60
  6. Step 6: Final answer
    x = 2,976.15

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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.