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Finding the Fourth Proportional to 11,102.78, 16,672 and 7,360.32

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Solution

The fourth proportional to 11,102.78, 16,672 and 7,360.32 is: 11,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.78 : 16,672 = 7,360.32 : x
  2. Step 2: Convert to fraction form
    11,102.78/16,672 = 7,360.32/x
  3. Step 3: Cross multiply
    11,102.78x = 16,672 × 7,360.32
  4. Step 4: Simplify right side
    11,102.78x = 122,711,255.04
  5. Step 5: Solve for x
    x = 122,711,255.04/11,102.78
  6. Step 6: Final answer
    x = 11,052.30

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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.