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Finding the Fourth Proportional to 12,882.94, 17,786.98 and 9,893.40

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Solution

The fourth proportional to 12,882.94, 17,786.98 and 9,893.40 is: 13,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.94 : 17,786.98 = 9,893.40 : x
  2. Step 2: Convert to fraction form
    12,882.94/17,786.98 = 9,893.40/x
  3. Step 3: Cross multiply
    12,882.94x = 17,786.98 × 9,893.40
  4. Step 4: Simplify right side
    12,882.94x = 175,973,707.93
  5. Step 5: Solve for x
    x = 175,973,707.93/12,882.94
  6. Step 6: Final answer
    x = 13,659.44

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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.