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Finding the Fourth Proportional to 20,592.90, 28,422.90 and 12,096

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Solution

The fourth proportional to 20,592.90, 28,422.90 and 12,096 is: 16,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592.90 : 28,422.90 = 12,096 : x
  2. Step 2: Convert to fraction form
    20,592.90/28,422.90 = 12,096/x
  3. Step 3: Cross multiply
    20,592.90x = 28,422.90 × 12,096
  4. Step 4: Simplify right side
    20,592.90x = 343,803,398.40
  5. Step 5: Solve for x
    x = 343,803,398.40/20,592.90
  6. Step 6: Final answer
    x = 16,695.24

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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.