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Finding the Fourth Proportional to 11,823, 16,303.62 and 7,790.88

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Solution

The fourth proportional to 11,823, 16,303.62 and 7,790.88 is: 10,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823 : 16,303.62 = 7,790.88 : x
  2. Step 2: Convert to fraction form
    11,823/16,303.62 = 7,790.88/x
  3. Step 3: Cross multiply
    11,823x = 16,303.62 × 7,790.88
  4. Step 4: Simplify right side
    11,823x = 127,019,546.99
  5. Step 5: Solve for x
    x = 127,019,546.99/11,823
  6. Step 6: Final answer
    x = 10,743.43

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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.