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Finding the Fourth Proportional to 14,372.72, 19,825.76 and 8,774

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Solution

The fourth proportional to 14,372.72, 19,825.76 and 8,774 is: 12,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372.72 : 19,825.76 = 8,774 : x
  2. Step 2: Convert to fraction form
    14,372.72/19,825.76 = 8,774/x
  3. Step 3: Cross multiply
    14,372.72x = 19,825.76 × 8,774
  4. Step 4: Simplify right side
    14,372.72x = 173,951,218.24
  5. Step 5: Solve for x
    x = 173,951,218.24/14,372.72
  6. Step 6: Final answer
    x = 12,102.87

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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.