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Finding the Fourth Proportional to 8,580.13, 11,847.47 and 6,896.14

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Solution

The fourth proportional to 8,580.13, 11,847.47 and 6,896.14 is: 9,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.13 : 11,847.47 = 6,896.14 : x
  2. Step 2: Convert to fraction form
    8,580.13/11,847.47 = 6,896.14/x
  3. Step 3: Cross multiply
    8,580.13x = 11,847.47 × 6,896.14
  4. Step 4: Simplify right side
    8,580.13x = 81,701,747.67
  5. Step 5: Solve for x
    x = 81,701,747.67/8,580.13
  6. Step 6: Final answer
    x = 9,522.21

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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.