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Finding the Fourth Proportional to 14,550.40, 21,770.64 and 8,908

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Solution

The fourth proportional to 14,550.40, 21,770.64 and 8,908 is: 13,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.40 : 21,770.64 = 8,908 : x
  2. Step 2: Convert to fraction form
    14,550.40/21,770.64 = 8,908/x
  3. Step 3: Cross multiply
    14,550.40x = 21,770.64 × 8,908
  4. Step 4: Simplify right side
    14,550.40x = 193,932,861.12
  5. Step 5: Solve for x
    x = 193,932,861.12/14,550.40
  6. Step 6: Final answer
    x = 13,328.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.