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Finding the Fourth Proportional to 16,309.66, 22,505.13 and 9,591.40

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Solution

The fourth proportional to 16,309.66, 22,505.13 and 9,591.40 is: 13,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.66 : 22,505.13 = 9,591.40 : x
  2. Step 2: Convert to fraction form
    16,309.66/22,505.13 = 9,591.40/x
  3. Step 3: Cross multiply
    16,309.66x = 22,505.13 × 9,591.40
  4. Step 4: Simplify right side
    16,309.66x = 215,855,703.88
  5. Step 5: Solve for x
    x = 215,855,703.88/16,309.66
  6. Step 6: Final answer
    x = 13,234.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.