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Finding the Fourth Proportional to 21,755.79, 32,631.26 and 7,714.64

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Solution

The fourth proportional to 21,755.79, 32,631.26 and 7,714.64 is: 11,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755.79 : 32,631.26 = 7,714.64 : x
  2. Step 2: Convert to fraction form
    21,755.79/32,631.26 = 7,714.64/x
  3. Step 3: Cross multiply
    21,755.79x = 32,631.26 × 7,714.64
  4. Step 4: Simplify right side
    21,755.79x = 251,738,466.65
  5. Step 5: Solve for x
    x = 251,738,466.65/21,755.79
  6. Step 6: Final answer
    x = 11,571.10

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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.