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Finding the Fourth Proportional to 14,676.56, 20,254.80 and 8,390

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Solution

The fourth proportional to 14,676.56, 20,254.80 and 8,390 is: 11,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.56 : 20,254.80 = 8,390 : x
  2. Step 2: Convert to fraction form
    14,676.56/20,254.80 = 8,390/x
  3. Step 3: Cross multiply
    14,676.56x = 20,254.80 × 8,390
  4. Step 4: Simplify right side
    14,676.56x = 169,937,772
  5. Step 5: Solve for x
    x = 169,937,772/14,676.56
  6. Step 6: Final answer
    x = 11,578.86

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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.