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Finding the Fourth Proportional to 17,643.21, 26,466.96 and 7,784.97

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Solution

The fourth proportional to 17,643.21, 26,466.96 and 7,784.97 is: 11,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.21 : 26,466.96 = 7,784.97 : x
  2. Step 2: Convert to fraction form
    17,643.21/26,466.96 = 7,784.97/x
  3. Step 3: Cross multiply
    17,643.21x = 26,466.96 × 7,784.97
  4. Step 4: Simplify right side
    17,643.21x = 206,044,450.67
  5. Step 5: Solve for x
    x = 206,044,450.67/17,643.21
  6. Step 6: Final answer
    x = 11,678.40

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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.