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Finding the Fourth Proportional to 12,829.21, 19,228.09 and 7,287.22

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Solution

The fourth proportional to 12,829.21, 19,228.09 and 7,287.22 is: 10,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.21 : 19,228.09 = 7,287.22 : x
  2. Step 2: Convert to fraction form
    12,829.21/19,228.09 = 7,287.22/x
  3. Step 3: Cross multiply
    12,829.21x = 19,228.09 × 7,287.22
  4. Step 4: Simplify right side
    12,829.21x = 140,119,255.72
  5. Step 5: Solve for x
    x = 140,119,255.72/12,829.21
  6. Step 6: Final answer
    x = 10,921.89

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1.5x scale

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.