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Finding the Fourth Proportional to 5,979.30, 8,970.31 and 1,819.89

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Solution

The fourth proportional to 5,979.30, 8,970.31 and 1,819.89 is: 2,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.30 : 8,970.31 = 1,819.89 : x
  2. Step 2: Convert to fraction form
    5,979.30/8,970.31 = 1,819.89/x
  3. Step 3: Cross multiply
    5,979.30x = 8,970.31 × 1,819.89
  4. Step 4: Simplify right side
    5,979.30x = 16,324,995.34
  5. Step 5: Solve for x
    x = 16,324,995.34/5,979.30
  6. Step 6: Final answer
    x = 2,730.25

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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.