Home / 12,838.24-19,224-11,001.12

Finding the Fourth Proportional to 12,838.24, 19,224 and 11,001.12

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Solution

The fourth proportional to 12,838.24, 19,224 and 11,001.12 is: 16,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.24 : 19,224 = 11,001.12 : x
  2. Step 2: Convert to fraction form
    12,838.24/19,224 = 11,001.12/x
  3. Step 3: Cross multiply
    12,838.24x = 19,224 × 11,001.12
  4. Step 4: Simplify right side
    12,838.24x = 211,485,530.88
  5. Step 5: Solve for x
    x = 211,485,530.88/12,838.24
  6. Step 6: Final answer
    x = 16,473.09

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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.