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Finding the Fourth Proportional to 12,142.62, 16,757.13 and 6,837.62

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Solution

The fourth proportional to 12,142.62, 16,757.13 and 6,837.62 is: 9,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.62 : 16,757.13 = 6,837.62 : x
  2. Step 2: Convert to fraction form
    12,142.62/16,757.13 = 6,837.62/x
  3. Step 3: Cross multiply
    12,142.62x = 16,757.13 × 6,837.62
  4. Step 4: Simplify right side
    12,142.62x = 114,578,769.26
  5. Step 5: Solve for x
    x = 114,578,769.26/12,142.62
  6. Step 6: Final answer
    x = 9,436.08

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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.