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Finding the Fourth Proportional to 12,685.82, 17,523.16 and 9,738.08

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Solution

The fourth proportional to 12,685.82, 17,523.16 and 9,738.08 is: 13,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.82 : 17,523.16 = 9,738.08 : x
  2. Step 2: Convert to fraction form
    12,685.82/17,523.16 = 9,738.08/x
  3. Step 3: Cross multiply
    12,685.82x = 17,523.16 × 9,738.08
  4. Step 4: Simplify right side
    12,685.82x = 170,641,933.93
  5. Step 5: Solve for x
    x = 170,641,933.93/12,685.82
  6. Step 6: Final answer
    x = 13,451.39

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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.