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Finding the Fourth Proportional to 14,992, 20,689.29 and 8,277.61

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Solution

The fourth proportional to 14,992, 20,689.29 and 8,277.61 is: 11,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992 : 20,689.29 = 8,277.61 : x
  2. Step 2: Convert to fraction form
    14,992/20,689.29 = 8,277.61/x
  3. Step 3: Cross multiply
    14,992x = 20,689.29 × 8,277.61
  4. Step 4: Simplify right side
    14,992x = 171,257,873.80
  5. Step 5: Solve for x
    x = 171,257,873.80/14,992
  6. Step 6: Final answer
    x = 11,423.28

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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.