Home / 13,200-19,784.20-9,229.58

Finding the Fourth Proportional to 13,200, 19,784.20 and 9,229.58

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Solution

The fourth proportional to 13,200, 19,784.20 and 9,229.58 is: 13,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200 : 19,784.20 = 9,229.58 : x
  2. Step 2: Convert to fraction form
    13,200/19,784.20 = 9,229.58/x
  3. Step 3: Cross multiply
    13,200x = 19,784.20 × 9,229.58
  4. Step 4: Simplify right side
    13,200x = 182,599,856.64
  5. Step 5: Solve for x
    x = 182,599,856.64/13,200
  6. Step 6: Final answer
    x = 13,833.32

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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.