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Finding the Fourth Proportional to 9,906, 14,860.24 and 3,664.96

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Solution

The fourth proportional to 9,906, 14,860.24 and 3,664.96 is: 5,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906 : 14,860.24 = 3,664.96 : x
  2. Step 2: Convert to fraction form
    9,906/14,860.24 = 3,664.96/x
  3. Step 3: Cross multiply
    9,906x = 14,860.24 × 3,664.96
  4. Step 4: Simplify right side
    9,906x = 54,462,185.19
  5. Step 5: Solve for x
    x = 54,462,185.19/9,906
  6. Step 6: Final answer
    x = 5,497.90

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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.