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Finding the Fourth Proportional to 20,592, 30,888 and 14,001.84

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Solution

The fourth proportional to 20,592, 30,888 and 14,001.84 is: 21,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592 : 30,888 = 14,001.84 : x
  2. Step 2: Convert to fraction form
    20,592/30,888 = 14,001.84/x
  3. Step 3: Cross multiply
    20,592x = 30,888 × 14,001.84
  4. Step 4: Simplify right side
    20,592x = 432,488,833.92
  5. Step 5: Solve for x
    x = 432,488,833.92/20,592
  6. Step 6: Final answer
    x = 21,002.76

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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.