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Finding the Fourth Proportional to 12,843.79, 17,725.70 and 7,538.49

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Solution

The fourth proportional to 12,843.79, 17,725.70 and 7,538.49 is: 10,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.79 : 17,725.70 = 7,538.49 : x
  2. Step 2: Convert to fraction form
    12,843.79/17,725.70 = 7,538.49/x
  3. Step 3: Cross multiply
    12,843.79x = 17,725.70 × 7,538.49
  4. Step 4: Simplify right side
    12,843.79x = 133,625,031.04
  5. Step 5: Solve for x
    x = 133,625,031.04/12,843.79
  6. Step 6: Final answer
    x = 10,403.86

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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.