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Finding the Fourth Proportional to 9,963, 14,943.89 and 4,115.41

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Solution

The fourth proportional to 9,963, 14,943.89 and 4,115.41 is: 6,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963 : 14,943.89 = 4,115.41 : x
  2. Step 2: Convert to fraction form
    9,963/14,943.89 = 4,115.41/x
  3. Step 3: Cross multiply
    9,963x = 14,943.89 × 4,115.41
  4. Step 4: Simplify right side
    9,963x = 61,500,207.27
  5. Step 5: Solve for x
    x = 61,500,207.27/9,963
  6. Step 6: Final answer
    x = 6,172.86

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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.