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Finding the Fourth Proportional to 17,720.72, 26,562.84 and 7,864.64

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Solution

The fourth proportional to 17,720.72, 26,562.84 and 7,864.64 is: 11,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720.72 : 26,562.84 = 7,864.64 : x
  2. Step 2: Convert to fraction form
    17,720.72/26,562.84 = 7,864.64/x
  3. Step 3: Cross multiply
    17,720.72x = 26,562.84 × 7,864.64
  4. Step 4: Simplify right side
    17,720.72x = 208,907,173.98
  5. Step 5: Solve for x
    x = 208,907,173.98/17,720.72
  6. Step 6: Final answer
    x = 11,788.86

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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.