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Finding the Fourth Proportional to 12,741.65, 17,578.65 and 9,392.48

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Solution

The fourth proportional to 12,741.65, 17,578.65 and 9,392.48 is: 12,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.65 : 17,578.65 = 9,392.48 : x
  2. Step 2: Convert to fraction form
    12,741.65/17,578.65 = 9,392.48/x
  3. Step 3: Cross multiply
    12,741.65x = 17,578.65 × 9,392.48
  4. Step 4: Simplify right side
    12,741.65x = 165,107,118.55
  5. Step 5: Solve for x
    x = 165,107,118.55/12,741.65
  6. Step 6: Final answer
    x = 12,958.06

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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.