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Finding the Fourth Proportional to 3,819.66, 5,729.52 and 2,359.32

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Solution

The fourth proportional to 3,819.66, 5,729.52 and 2,359.32 is: 3,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.66 : 5,729.52 = 2,359.32 : x
  2. Step 2: Convert to fraction form
    3,819.66/5,729.52 = 2,359.32/x
  3. Step 3: Cross multiply
    3,819.66x = 5,729.52 × 2,359.32
  4. Step 4: Simplify right side
    3,819.66x = 13,517,771.13
  5. Step 5: Solve for x
    x = 13,517,771.13/3,819.66
  6. Step 6: Final answer
    x = 3,539.00

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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.