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Finding the Fourth Proportional to 14,805, 20,428.11 and 9,144.63

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Solution

The fourth proportional to 14,805, 20,428.11 and 9,144.63 is: 12,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805 : 20,428.11 = 9,144.63 : x
  2. Step 2: Convert to fraction form
    14,805/20,428.11 = 9,144.63/x
  3. Step 3: Cross multiply
    14,805x = 20,428.11 × 9,144.63
  4. Step 4: Simplify right side
    14,805x = 186,807,507.55
  5. Step 5: Solve for x
    x = 186,807,507.55/14,805
  6. Step 6: Final answer
    x = 12,617.87

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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.