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Finding the Fourth Proportional to 17,783.16, 26,685 and 7,923.39

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Solution

The fourth proportional to 17,783.16, 26,685 and 7,923.39 is: 11,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.16 : 26,685 = 7,923.39 : x
  2. Step 2: Convert to fraction form
    17,783.16/26,685 = 7,923.39/x
  3. Step 3: Cross multiply
    17,783.16x = 26,685 × 7,923.39
  4. Step 4: Simplify right side
    17,783.16x = 211,435,662.15
  5. Step 5: Solve for x
    x = 211,435,662.15/17,783.16
  6. Step 6: Final answer
    x = 11,889.66

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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.