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Finding the Fourth Proportional to 17,764.78, 26,647.17 and 9,002.20

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Solution

The fourth proportional to 17,764.78, 26,647.17 and 9,002.20 is: 13,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.78 : 26,647.17 = 9,002.20 : x
  2. Step 2: Convert to fraction form
    17,764.78/26,647.17 = 9,002.20/x
  3. Step 3: Cross multiply
    17,764.78x = 26,647.17 × 9,002.20
  4. Step 4: Simplify right side
    17,764.78x = 239,883,153.77
  5. Step 5: Solve for x
    x = 239,883,153.77/17,764.78
  6. Step 6: Final answer
    x = 13,503.30

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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.