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Finding the Fourth Proportional to 12,851.68, 17,744.08 and 9,724.96

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Solution

The fourth proportional to 12,851.68, 17,744.08 and 9,724.96 is: 13,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.68 : 17,744.08 = 9,724.96 : x
  2. Step 2: Convert to fraction form
    12,851.68/17,744.08 = 9,724.96/x
  3. Step 3: Cross multiply
    12,851.68x = 17,744.08 × 9,724.96
  4. Step 4: Simplify right side
    12,851.68x = 172,560,468.24
  5. Step 5: Solve for x
    x = 172,560,468.24/12,851.68
  6. Step 6: Final answer
    x = 13,427.07

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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.