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Finding the Fourth Proportional to 14,778, 20,393.64 and 8,154

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Solution

The fourth proportional to 14,778, 20,393.64 and 8,154 is: 11,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778 : 20,393.64 = 8,154 : x
  2. Step 2: Convert to fraction form
    14,778/20,393.64 = 8,154/x
  3. Step 3: Cross multiply
    14,778x = 20,393.64 × 8,154
  4. Step 4: Simplify right side
    14,778x = 166,289,740.56
  5. Step 5: Solve for x
    x = 166,289,740.56/14,778
  6. Step 6: Final answer
    x = 11,252.52

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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.