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Finding the Fourth Proportional to 12,992.97, 17,928 and 7,685.85

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Solution

The fourth proportional to 12,992.97, 17,928 and 7,685.85 is: 10,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.97 : 17,928 = 7,685.85 : x
  2. Step 2: Convert to fraction form
    12,992.97/17,928 = 7,685.85/x
  3. Step 3: Cross multiply
    12,992.97x = 17,928 × 7,685.85
  4. Step 4: Simplify right side
    12,992.97x = 137,791,918.80
  5. Step 5: Solve for x
    x = 137,791,918.80/12,992.97
  6. Step 6: Final answer
    x = 10,605.11

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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.