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Finding the Fourth Proportional to 8,462.89, 11,680.01 and 4,928.05

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Solution

The fourth proportional to 8,462.89, 11,680.01 and 4,928.05 is: 6,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.89 : 11,680.01 = 4,928.05 : x
  2. Step 2: Convert to fraction form
    8,462.89/11,680.01 = 4,928.05/x
  3. Step 3: Cross multiply
    8,462.89x = 11,680.01 × 4,928.05
  4. Step 4: Simplify right side
    8,462.89x = 57,559,673.28
  5. Step 5: Solve for x
    x = 57,559,673.28/8,462.89
  6. Step 6: Final answer
    x = 6,801.42

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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.