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Finding the Fourth Proportional to 10,274.92, 14,179.39 and 5,559.19

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Solution

The fourth proportional to 10,274.92, 14,179.39 and 5,559.19 is: 7,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.92 : 14,179.39 = 5,559.19 : x
  2. Step 2: Convert to fraction form
    10,274.92/14,179.39 = 5,559.19/x
  3. Step 3: Cross multiply
    10,274.92x = 14,179.39 × 5,559.19
  4. Step 4: Simplify right side
    10,274.92x = 78,825,873.75
  5. Step 5: Solve for x
    x = 78,825,873.75/10,274.92
  6. Step 6: Final answer
    x = 7,671.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.