Home / 10,974.36-16,458.36-7,828.20

Finding the Fourth Proportional to 10,974.36, 16,458.36 and 7,828.20

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Solution

The fourth proportional to 10,974.36, 16,458.36 and 7,828.20 is: 11,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.36 : 16,458.36 = 7,828.20 : x
  2. Step 2: Convert to fraction form
    10,974.36/16,458.36 = 7,828.20/x
  3. Step 3: Cross multiply
    10,974.36x = 16,458.36 × 7,828.20
  4. Step 4: Simplify right side
    10,974.36x = 128,839,333.75
  5. Step 5: Solve for x
    x = 128,839,333.75/10,974.36
  6. Step 6: Final answer
    x = 11,740.03

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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.