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Finding the Fourth Proportional to 11,094.98, 16,640.24 and 7,139.88

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Solution

The fourth proportional to 11,094.98, 16,640.24 and 7,139.88 is: 10,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.98 : 16,640.24 = 7,139.88 : x
  2. Step 2: Convert to fraction form
    11,094.98/16,640.24 = 7,139.88/x
  3. Step 3: Cross multiply
    11,094.98x = 16,640.24 × 7,139.88
  4. Step 4: Simplify right side
    11,094.98x = 118,809,281.07
  5. Step 5: Solve for x
    x = 118,809,281.07/11,094.98
  6. Step 6: Final answer
    x = 10,708.39

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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.