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Finding the Fourth Proportional to 11,755.38, 16,218 and 7,506.60

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Solution

The fourth proportional to 11,755.38, 16,218 and 7,506.60 is: 10,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.38 : 16,218 = 7,506.60 : x
  2. Step 2: Convert to fraction form
    11,755.38/16,218 = 7,506.60/x
  3. Step 3: Cross multiply
    11,755.38x = 16,218 × 7,506.60
  4. Step 4: Simplify right side
    11,755.38x = 121,742,038.80
  5. Step 5: Solve for x
    x = 121,742,038.80/11,755.38
  6. Step 6: Final answer
    x = 10,356.28

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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.