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Finding the Fourth Proportional to 12,680.32, 17,498.74 and 7,091.32

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Solution

The fourth proportional to 12,680.32, 17,498.74 and 7,091.32 is: 9,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.32 : 17,498.74 = 7,091.32 : x
  2. Step 2: Convert to fraction form
    12,680.32/17,498.74 = 7,091.32/x
  3. Step 3: Cross multiply
    12,680.32x = 17,498.74 × 7,091.32
  4. Step 4: Simplify right side
    12,680.32x = 124,089,164.94
  5. Step 5: Solve for x
    x = 124,089,164.94/12,680.32
  6. Step 6: Final answer
    x = 9,785.96

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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.