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Finding the Fourth Proportional to 9,476.96, 13,078.20 and 5,285.21

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Solution

The fourth proportional to 9,476.96, 13,078.20 and 5,285.21 is: 7,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.96 : 13,078.20 = 5,285.21 : x
  2. Step 2: Convert to fraction form
    9,476.96/13,078.20 = 5,285.21/x
  3. Step 3: Cross multiply
    9,476.96x = 13,078.20 × 5,285.21
  4. Step 4: Simplify right side
    9,476.96x = 69,120,968.03
  5. Step 5: Solve for x
    x = 69,120,968.03/9,476.96
  6. Step 6: Final answer
    x = 7,293.58

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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.