Home / 12,121.40-18,174-9,784.28

Finding the Fourth Proportional to 12,121.40, 18,174 and 9,784.28

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Solution

The fourth proportional to 12,121.40, 18,174 and 9,784.28 is: 14,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.40 : 18,174 = 9,784.28 : x
  2. Step 2: Convert to fraction form
    12,121.40/18,174 = 9,784.28/x
  3. Step 3: Cross multiply
    12,121.40x = 18,174 × 9,784.28
  4. Step 4: Simplify right side
    12,121.40x = 177,819,504.72
  5. Step 5: Solve for x
    x = 177,819,504.72/12,121.40
  6. Step 6: Final answer
    x = 14,669.88

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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.