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Finding the Fourth Proportional to 5,194.64, 7,788.48 and 2,419.76

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Solution

The fourth proportional to 5,194.64, 7,788.48 and 2,419.76 is: 3,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.64 : 7,788.48 = 2,419.76 : x
  2. Step 2: Convert to fraction form
    5,194.64/7,788.48 = 2,419.76/x
  3. Step 3: Cross multiply
    5,194.64x = 7,788.48 × 2,419.76
  4. Step 4: Simplify right side
    5,194.64x = 18,846,252.36
  5. Step 5: Solve for x
    x = 18,846,252.36/5,194.64
  6. Step 6: Final answer
    x = 3,628.02

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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.