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Finding the Fourth Proportional to 12,406.97, 17,121.92 and 7,103.49

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Solution

The fourth proportional to 12,406.97, 17,121.92 and 7,103.49 is: 9,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.97 : 17,121.92 = 7,103.49 : x
  2. Step 2: Convert to fraction form
    12,406.97/17,121.92 = 7,103.49/x
  3. Step 3: Cross multiply
    12,406.97x = 17,121.92 × 7,103.49
  4. Step 4: Simplify right side
    12,406.97x = 121,625,387.50
  5. Step 5: Solve for x
    x = 121,625,387.50/12,406.97
  6. Step 6: Final answer
    x = 9,802.99

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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.