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Finding the Fourth Proportional to 4,478.99, 6,719.84 and 1,809.21

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Solution

The fourth proportional to 4,478.99, 6,719.84 and 1,809.21 is: 2,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.99 : 6,719.84 = 1,809.21 : x
  2. Step 2: Convert to fraction form
    4,478.99/6,719.84 = 1,809.21/x
  3. Step 3: Cross multiply
    4,478.99x = 6,719.84 × 1,809.21
  4. Step 4: Simplify right side
    4,478.99x = 12,157,592.68
  5. Step 5: Solve for x
    x = 12,157,592.68/4,478.99
  6. Step 6: Final answer
    x = 2,714.36

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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.