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Finding the Fourth Proportional to 12,296.64, 16,949.13 and 8,712.80

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Solution

The fourth proportional to 12,296.64, 16,949.13 and 8,712.80 is: 12,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.64 : 16,949.13 = 8,712.80 : x
  2. Step 2: Convert to fraction form
    12,296.64/16,949.13 = 8,712.80/x
  3. Step 3: Cross multiply
    12,296.64x = 16,949.13 × 8,712.80
  4. Step 4: Simplify right side
    12,296.64x = 147,674,379.86
  5. Step 5: Solve for x
    x = 147,674,379.86/12,296.64
  6. Step 6: Final answer
    x = 12,009.33

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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.