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Finding the Fourth Proportional to 8,458.16, 11,645.76 and 7,680.56

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Solution

The fourth proportional to 8,458.16, 11,645.76 and 7,680.56 is: 10,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458.16 : 11,645.76 = 7,680.56 : x
  2. Step 2: Convert to fraction form
    8,458.16/11,645.76 = 7,680.56/x
  3. Step 3: Cross multiply
    8,458.16x = 11,645.76 × 7,680.56
  4. Step 4: Simplify right side
    8,458.16x = 89,445,958.43
  5. Step 5: Solve for x
    x = 89,445,958.43/8,458.16
  6. Step 6: Final answer
    x = 10,575.11

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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.