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Finding the Fourth Proportional to 12,622.34, 17,407 and 9,976.08

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Solution

The fourth proportional to 12,622.34, 17,407 and 9,976.08 is: 13,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622.34 : 17,407 = 9,976.08 : x
  2. Step 2: Convert to fraction form
    12,622.34/17,407 = 9,976.08/x
  3. Step 3: Cross multiply
    12,622.34x = 17,407 × 9,976.08
  4. Step 4: Simplify right side
    12,622.34x = 173,653,624.56
  5. Step 5: Solve for x
    x = 173,653,624.56/12,622.34
  6. Step 6: Final answer
    x = 13,757.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.