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Finding the Fourth Proportional to 9,936, 14,876.64 and 6,644.70

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Solution

The fourth proportional to 9,936, 14,876.64 and 6,644.70 is: 9,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936 : 14,876.64 = 6,644.70 : x
  2. Step 2: Convert to fraction form
    9,936/14,876.64 = 6,644.70/x
  3. Step 3: Cross multiply
    9,936x = 14,876.64 × 6,644.70
  4. Step 4: Simplify right side
    9,936x = 98,850,809.81
  5. Step 5: Solve for x
    x = 98,850,809.81/9,936
  6. Step 6: Final answer
    x = 9,948.75

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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.