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Finding the Fourth Proportional to 16,842.12, 23,241.76 and 9,769.20

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Solution

The fourth proportional to 16,842.12, 23,241.76 and 9,769.20 is: 13,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.12 : 23,241.76 = 9,769.20 : x
  2. Step 2: Convert to fraction form
    16,842.12/23,241.76 = 9,769.20/x
  3. Step 3: Cross multiply
    16,842.12x = 23,241.76 × 9,769.20
  4. Step 4: Simplify right side
    16,842.12x = 227,053,401.79
  5. Step 5: Solve for x
    x = 227,053,401.79/16,842.12
  6. Step 6: Final answer
    x = 13,481.28

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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.