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Finding the Fourth Proportional to 11,825, 16,306.38 and 7,792.88

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Solution

The fourth proportional to 11,825, 16,306.38 and 7,792.88 is: 10,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825 : 16,306.38 = 7,792.88 : x
  2. Step 2: Convert to fraction form
    11,825/16,306.38 = 7,792.88/x
  3. Step 3: Cross multiply
    11,825x = 16,306.38 × 7,792.88
  4. Step 4: Simplify right side
    11,825x = 127,073,662.57
  5. Step 5: Solve for x
    x = 127,073,662.57/11,825
  6. Step 6: Final answer
    x = 10,746.19

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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.