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Finding the Fourth Proportional to 14,780, 20,396.40 and 8,156

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Solution

The fourth proportional to 14,780, 20,396.40 and 8,156 is: 11,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780 : 20,396.40 = 8,156 : x
  2. Step 2: Convert to fraction form
    14,780/20,396.40 = 8,156/x
  3. Step 3: Cross multiply
    14,780x = 20,396.40 × 8,156
  4. Step 4: Simplify right side
    14,780x = 166,353,038.40
  5. Step 5: Solve for x
    x = 166,353,038.40/14,780
  6. Step 6: Final answer
    x = 11,255.28

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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.