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Finding the Fourth Proportional to 16,964.24, 25,450.05 and 5,278.40

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Solution

The fourth proportional to 16,964.24, 25,450.05 and 5,278.40 is: 7,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.24 : 25,450.05 = 5,278.40 : x
  2. Step 2: Convert to fraction form
    16,964.24/25,450.05 = 5,278.40/x
  3. Step 3: Cross multiply
    16,964.24x = 25,450.05 × 5,278.40
  4. Step 4: Simplify right side
    16,964.24x = 134,335,543.92
  5. Step 5: Solve for x
    x = 134,335,543.92/16,964.24
  6. Step 6: Final answer
    x = 7,918.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.