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Finding the Fourth Proportional to 12,834.91, 17,712.24 and 7,169.90

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Solution

The fourth proportional to 12,834.91, 17,712.24 and 7,169.90 is: 9,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.91 : 17,712.24 = 7,169.90 : x
  2. Step 2: Convert to fraction form
    12,834.91/17,712.24 = 7,169.90/x
  3. Step 3: Cross multiply
    12,834.91x = 17,712.24 × 7,169.90
  4. Step 4: Simplify right side
    12,834.91x = 126,994,901.01
  5. Step 5: Solve for x
    x = 126,994,901.01/12,834.91
  6. Step 6: Final answer
    x = 9,894.49

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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.