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Finding the Fourth Proportional to 11,859.93, 17,784.09 and 6,930.81

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Solution

The fourth proportional to 11,859.93, 17,784.09 and 6,930.81 is: 10,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.93 : 17,784.09 = 6,930.81 : x
  2. Step 2: Convert to fraction form
    11,859.93/17,784.09 = 6,930.81/x
  3. Step 3: Cross multiply
    11,859.93x = 17,784.09 × 6,930.81
  4. Step 4: Simplify right side
    11,859.93x = 123,258,148.81
  5. Step 5: Solve for x
    x = 123,258,148.81/11,859.93
  6. Step 6: Final answer
    x = 10,392.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.