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Finding the Fourth Proportional to 14,740, 20,341.20 and 8,116

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Solution

The fourth proportional to 14,740, 20,341.20 and 8,116 is: 11,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,740 : 20,341.20 = 8,116 : x
  2. Step 2: Convert to fraction form
    14,740/20,341.20 = 8,116/x
  3. Step 3: Cross multiply
    14,740x = 20,341.20 × 8,116
  4. Step 4: Simplify right side
    14,740x = 165,089,179.20
  5. Step 5: Solve for x
    x = 165,089,179.20/14,740
  6. Step 6: Final answer
    x = 11,200.08

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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.