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Finding the Fourth Proportional to 20,720, 31,002.24 and 12,892.16

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Solution

The fourth proportional to 20,720, 31,002.24 and 12,892.16 is: 19,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,720 : 31,002.24 = 12,892.16 : x
  2. Step 2: Convert to fraction form
    20,720/31,002.24 = 12,892.16/x
  3. Step 3: Cross multiply
    20,720x = 31,002.24 × 12,892.16
  4. Step 4: Simplify right side
    20,720x = 399,685,838.44
  5. Step 5: Solve for x
    x = 399,685,838.44/20,720
  6. Step 6: Final answer
    x = 19,289.86

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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.