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Finding the Fourth Proportional to 9,172.98, 13,792.68 and 8,451.27

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Solution

The fourth proportional to 9,172.98, 13,792.68 and 8,451.27 is: 12,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.98 : 13,792.68 = 8,451.27 : x
  2. Step 2: Convert to fraction form
    9,172.98/13,792.68 = 8,451.27/x
  3. Step 3: Cross multiply
    9,172.98x = 13,792.68 × 8,451.27
  4. Step 4: Simplify right side
    9,172.98x = 116,565,662.70
  5. Step 5: Solve for x
    x = 116,565,662.70/9,172.98
  6. Step 6: Final answer
    x = 12,707.50

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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.