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Finding the Fourth Proportional to 14,783, 20,400.54 and 8,159

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Solution

The fourth proportional to 14,783, 20,400.54 and 8,159 is: 11,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783 : 20,400.54 = 8,159 : x
  2. Step 2: Convert to fraction form
    14,783/20,400.54 = 8,159/x
  3. Step 3: Cross multiply
    14,783x = 20,400.54 × 8,159
  4. Step 4: Simplify right side
    14,783x = 166,448,005.86
  5. Step 5: Solve for x
    x = 166,448,005.86/14,783
  6. Step 6: Final answer
    x = 11,259.42

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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.