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Finding the Fourth Proportional to 14,892.85, 20,552.04 and 8,178.58

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Solution

The fourth proportional to 14,892.85, 20,552.04 and 8,178.58 is: 11,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,892.85 : 20,552.04 = 8,178.58 : x
  2. Step 2: Convert to fraction form
    14,892.85/20,552.04 = 8,178.58/x
  3. Step 3: Cross multiply
    14,892.85x = 20,552.04 × 8,178.58
  4. Step 4: Simplify right side
    14,892.85x = 168,086,503.30
  5. Step 5: Solve for x
    x = 168,086,503.30/14,892.85
  6. Step 6: Final answer
    x = 11,286.39

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1.5x scale

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.