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Finding the Fourth Proportional to 12,189.96, 16,829.94 and 9,957.20

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Solution

The fourth proportional to 12,189.96, 16,829.94 and 9,957.20 is: 13,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.96 : 16,829.94 = 9,957.20 : x
  2. Step 2: Convert to fraction form
    12,189.96/16,829.94 = 9,957.20/x
  3. Step 3: Cross multiply
    12,189.96x = 16,829.94 × 9,957.20
  4. Step 4: Simplify right side
    12,189.96x = 167,579,078.57
  5. Step 5: Solve for x
    x = 167,579,078.57/12,189.96
  6. Step 6: Final answer
    x = 13,747.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.