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Finding the Fourth Proportional to 14,396.78, 21,608.56 and 7,381.86

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Solution

The fourth proportional to 14,396.78, 21,608.56 and 7,381.86 is: 11,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.78 : 21,608.56 = 7,381.86 : x
  2. Step 2: Convert to fraction form
    14,396.78/21,608.56 = 7,381.86/x
  3. Step 3: Cross multiply
    14,396.78x = 21,608.56 × 7,381.86
  4. Step 4: Simplify right side
    14,396.78x = 159,511,364.72
  5. Step 5: Solve for x
    x = 159,511,364.72/14,396.78
  6. Step 6: Final answer
    x = 11,079.66

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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.