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Finding the Fourth Proportional to 11,907.81, 16,425.33 and 7,664.43

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Solution

The fourth proportional to 11,907.81, 16,425.33 and 7,664.43 is: 10,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.81 : 16,425.33 = 7,664.43 : x
  2. Step 2: Convert to fraction form
    11,907.81/16,425.33 = 7,664.43/x
  3. Step 3: Cross multiply
    11,907.81x = 16,425.33 × 7,664.43
  4. Step 4: Simplify right side
    11,907.81x = 125,890,792.01
  5. Step 5: Solve for x
    x = 125,890,792.01/11,907.81
  6. Step 6: Final answer
    x = 10,572.12

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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.