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Finding the Fourth Proportional to 13,737.45, 18,952.30 and 8,963

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Solution

The fourth proportional to 13,737.45, 18,952.30 and 8,963 is: 12,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.45 : 18,952.30 = 8,963 : x
  2. Step 2: Convert to fraction form
    13,737.45/18,952.30 = 8,963/x
  3. Step 3: Cross multiply
    13,737.45x = 18,952.30 × 8,963
  4. Step 4: Simplify right side
    13,737.45x = 169,869,464.90
  5. Step 5: Solve for x
    x = 169,869,464.90/13,737.45
  6. Step 6: Final answer
    x = 12,365.43

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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.