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Finding the Fourth Proportional to 12,721.29, 17,554.97 and 7,684.64

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Solution

The fourth proportional to 12,721.29, 17,554.97 and 7,684.64 is: 10,604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.29 : 17,554.97 = 7,684.64 : x
  2. Step 2: Convert to fraction form
    12,721.29/17,554.97 = 7,684.64/x
  3. Step 3: Cross multiply
    12,721.29x = 17,554.97 × 7,684.64
  4. Step 4: Simplify right side
    12,721.29x = 134,903,525.96
  5. Step 5: Solve for x
    x = 134,903,525.96/12,721.29
  6. Step 6: Final answer
    x = 10,604.55

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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.